Atkin-Lehner |
2+ 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350c |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5841000000 = 26 · 32 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2975,61125] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:305:1] |
Generators of the group modulo torsion |
j |
186463002097/373824 |
j-invariant |
L |
4.3612034076548 |
L(r)(E,1)/r! |
Ω |
1.3497839487384 |
Real period |
R |
0.80775952793625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894n1 |
Quadratic twists by: 5 |