Atkin-Lehner |
2- 3+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008s |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
42131260440576 = 220 · 32 · 43 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 2 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9224,140016] |
[a1,a2,a3,a4,a6] |
Generators |
[340:6016:1] |
Generators of the group modulo torsion |
j |
21191843070217/10285952256 |
j-invariant |
L |
8.0309049214746 |
L(r)(E,1)/r! |
Ω |
0.5718094431817 |
Real period |
R |
0.58519676814754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12126e1 |
Quadratic twists by: -4 |