Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265u |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-13672395 = -1 · 36 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,59,61] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] [5:22:1] |
Generators of the group modulo torsion |
j |
184549376/112995 |
j-invariant |
L |
8.8442272279913 |
L(r)(E,1)/r! |
Ω |
1.3763345240589 |
Real period |
R |
1.0709880814328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56265t1 |
Quadratic twists by: -11 |