Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15484a |
Isogeny class |
Conductor |
15484 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11880 |
Modular degree for the optimal curve |
Δ |
2379333376 = 28 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8836,316756] |
[a1,a2,a3,a4,a6] |
Generators |
[27:314:1] |
Generators of the group modulo torsion |
j |
2533446736/79 |
j-invariant |
L |
5.2127891493279 |
L(r)(E,1)/r! |
Ω |
1.3545063394754 |
Real period |
R |
3.8484789604949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61936w1 316a1 |
Quadratic twists by: -4 -7 |