Atkin-Lehner |
2- 5+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
97520d |
Isogeny class |
Conductor |
97520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-25842800 = -1 · 24 · 52 · 23 · 532 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -6 -7 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,74,-49] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] [41:265:1] |
Generators of the group modulo torsion |
j |
2763228416/1615175 |
j-invariant |
L |
6.1516103554037 |
L(r)(E,1)/r! |
Ω |
1.2481605328049 |
Real period |
R |
1.2321352492636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24380a1 |
Quadratic twists by: -4 |