Atkin-Lehner |
5+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8845b |
Isogeny class |
Conductor |
8845 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
23245765625 = 56 · 293 · 61 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31036,-2107065] |
[a1,a2,a3,a4,a6] |
Generators |
[1579:61551:1] |
Generators of the group modulo torsion |
j |
3306144386961367489/23245765625 |
j-invariant |
L |
1.3357277958524 |
L(r)(E,1)/r! |
Ω |
0.35969402959438 |
Real period |
R |
7.4270223353928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79605e1 44225a1 |
Quadratic twists by: -3 5 |