Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
9954i |
Isogeny class |
Conductor |
9954 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
412812288 = 210 · 36 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200,523] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:41:1] |
Generators of the group modulo torsion |
j |
1207949625/566272 |
j-invariant |
L |
6.9363852788084 |
L(r)(E,1)/r! |
Ω |
1.5018416745442 |
Real period |
R |
0.46185862307446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79632o1 1106d1 69678be1 |
Quadratic twists by: -4 -3 -7 |