Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600i |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-93025000000 = -1 · 26 · 58 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,325,14500] |
[a1,a2,a3,a4,a6] |
Generators |
[60:500:1] [960:29750:1] |
Generators of the group modulo torsion |
j |
3796416/93025 |
j-invariant |
L |
11.363598645581 |
L(r)(E,1)/r! |
Ω |
0.80297005828857 |
Real period |
R |
7.0759790651457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600k1 48800i2 19520l1 |
Quadratic twists by: -4 8 5 |