Atkin-Lehner |
2- 5+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bu |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
3759433624375000 = 23 · 57 · 115 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41438,-1359508] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1434:1] |
Generators of the group modulo torsion |
j |
503617368435481/240603751960 |
j-invariant |
L |
14.990211193176 |
L(r)(E,1)/r! |
Ω |
0.35079669600603 |
Real period |
R |
1.4243968512194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24310q1 |
Quadratic twists by: 5 |