Atkin-Lehner |
3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175t |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
8375424544265625 = 35 · 56 · 74 · 11 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3345051,2354506873] |
[a1,a2,a3,a4,a6] |
j |
264918160154242157473/536027170833 |
j-invariant |
L |
3.5567275061643 |
L(r)(E,1)/r! |
Ω |
0.35567276437302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3927d1 |
Quadratic twists by: 5 |