Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bj |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
-1.7807084197998E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11- -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-80325,-203216344] |
[a1,a2,a3,a4,a6] |
Generators |
[639:2524:1] |
Generators of the group modulo torsion |
j |
-3803369472/1181640625 |
j-invariant |
L |
3.2262435175239 |
L(r)(E,1)/r! |
Ω |
0.097788933221832 |
Real period |
R |
4.1239885730167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999136124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275w1 24255l1 121275l1 |
Quadratic twists by: -3 5 -7 |