Atkin-Lehner |
2- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97498j |
Isogeny class |
Conductor |
97498 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
2206671454016 = 26 · 295 · 412 |
Discriminant |
Eigenvalues |
2- 0 -1 -3 -6 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15178,719945] |
[a1,a2,a3,a4,a6] |
Generators |
[77:19:1] |
Generators of the group modulo torsion |
j |
230023823871969/1312713536 |
j-invariant |
L |
4.5980305836847 |
L(r)(E,1)/r! |
Ω |
0.82653205764735 |
Real period |
R |
0.18543465349754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97498i1 |
Quadratic twists by: 41 |