Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gr |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37324800 |
Modular degree for the optimal curve |
Δ |
-1.482850692812E+24 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11+ -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-825152833,-9123715913537] |
[a1,a2,a3,a4,a6] |
Generators |
[34655861879689398151315547256930244865034317219329820829189102572052846826107689733232113:7563040681354659150452934506106578164220896707985152237021205174626712558444534727981842432:549950605701829007172988540323944278481266428790983585494424148093762816527769315487] |
Generators of the group modulo torsion |
j |
-606773969327363726065/14480963796992 |
j-invariant |
L |
7.5848097144285 |
L(r)(E,1)/r! |
Ω |
0.014084302309919 |
Real period |
R |
134.63232944608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200dq1 30800cm1 123200fj1 |
Quadratic twists by: -4 8 5 |