Atkin-Lehner |
2- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
97328bk |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-590907097088 = -1 · 214 · 73 · 113 · 79 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 11- -7 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1651,45106] |
[a1,a2,a3,a4,a6] |
Generators |
[31:154:1] [-39:224:1] |
Generators of the group modulo torsion |
j |
-121508031177/144264428 |
j-invariant |
L |
5.8261217293654 |
L(r)(E,1)/r! |
Ω |
0.83078671404379 |
Real period |
R |
0.19479935342522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12166c1 |
Quadratic twists by: -4 |