Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350co |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
5482752000000 = 214 · 3 · 56 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10088,-374208] |
[a1,a2,a3,a4,a6] |
j |
7266438420409/350896128 |
j-invariant |
L |
6.6892088762417 |
L(r)(E,1)/r! |
Ω |
0.47780063217822 |
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 |
3894a1 |
Quadratic twists by: 5 |