Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bu |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
3285562500 = 22 · 34 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27363,1730781] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:1832:1] |
Generators of the group modulo torsion |
j |
145009284418153/210276 |
j-invariant |
L |
10.325787476635 |
L(r)(E,1)/r! |
Ω |
1.2023423908596 |
Real period |
R |
2.1470147647861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894g1 |
Quadratic twists by: 5 |