Atkin-Lehner |
2- 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
78100d |
Isogeny class |
Conductor |
78100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
19061281250000 = 24 · 59 · 112 · 712 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8000,178125] |
[a1,a2,a3,a4,a6] |
Generators |
[6850:199375:8] |
Generators of the group modulo torsion |
j |
1811939328/609961 |
j-invariant |
L |
5.7640882953326 |
L(r)(E,1)/r! |
Ω |
0.63243974207121 |
Real period |
R |
4.5570256827865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78100e1 |
Quadratic twists by: 5 |