Atkin-Lehner |
2- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
94162q |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-310302171937792 = -1 · 210 · 237 · 89 |
Discriminant |
Eigenvalues |
2- -2 0 0 -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16917,33841] |
[a1,a2,a3,a4,a6] |
Generators |
[198:3241:1] |
Generators of the group modulo torsion |
j |
3616805375/2096128 |
j-invariant |
L |
6.8216752336966 |
L(r)(E,1)/r! |
Ω |
0.32675304651026 |
Real period |
R |
4.1754317576198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4094f1 |
Quadratic twists by: -23 |