Atkin-Lehner |
3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677c |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-94594933071 = -1 · 32 · 236 · 71 |
Discriminant |
Eigenvalues |
1 3- -2 -2 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,253,-14695] |
[a1,a2,a3,a4,a6] |
Generators |
[295892520:-2497806947:4741632] |
Generators of the group modulo torsion |
j |
12167/639 |
j-invariant |
L |
5.8718971461177 |
L(r)(E,1)/r! |
Ω |
0.51137079059456 |
Real period |
R |
11.482660437452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
213a1 |
Quadratic twists by: -23 |