Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15376a |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
236421376 = 28 · 314 |
Discriminant |
Eigenvalues |
2+ 1 3 1 -1 7 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4164,102044] |
[a1,a2,a3,a4,a6] |
Generators |
[10:248:1] |
Generators of the group modulo torsion |
j |
33781072 |
j-invariant |
L |
7.1212471921196 |
L(r)(E,1)/r! |
Ω |
1.6397124054527 |
Real period |
R |
0.72383091575882 |
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 |
7688e1 61504bi1 15376i1 |
Quadratic twists by: -4 8 -31 |