Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7700f |
Isogeny class |
Conductor |
7700 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
2096133651180800 = 28 · 52 · 75 · 117 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69320,-6670540] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:49:1] |
Generators of the group modulo torsion |
j |
5755981643735040/327520882997 |
j-invariant |
L |
4.0817642689722 |
L(r)(E,1)/r! |
Ω |
0.29527325969265 |
Real period |
R |
2.7647368225764 |
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 |
30800bf1 123200by1 69300bz1 7700i1 |
Quadratic twists by: -4 8 -3 5 |