Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bm |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-249856000000000 = -1 · 221 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -2 -5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3167,758463] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:500:1] |
Generators of the group modulo torsion |
j |
6859/488 |
j-invariant |
L |
3.1900348524715 |
L(r)(E,1)/r! |
Ω |
0.42315897745901 |
Real period |
R |
1.8846550754713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999814239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600cr1 3050b1 97600bi1 |
Quadratic twists by: -4 8 5 |