Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850cc |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
30191616 |
Modular degree for the optimal curve |
Δ |
-1.7205125E+23 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 6 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138951688,-630813817719] |
[a1,a2,a3,a4,a6] |
Generators |
[187845:81156077:1] |
Generators of the group modulo torsion |
j |
-387524431014208664657929/224720000000000000 |
j-invariant |
L |
8.3191081327202 |
L(r)(E,1)/r! |
Ω |
0.021985608861329 |
Real period |
R |
2.9561624274605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000219435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970p1 129850bk1 |
Quadratic twists by: 5 -7 |