Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15376s |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
624960 |
Modular degree for the optimal curve |
Δ |
5.7236548638447E+19 |
Discriminant |
Eigenvalues |
2- -3 1 3 3 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1102267,-256738838] |
[a1,a2,a3,a4,a6] |
j |
42396561/16384 |
j-invariant |
L |
1.8270300993362 |
L(r)(E,1)/r! |
Ω |
0.15225250827801 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922c1 61504bj1 15376z1 |
Quadratic twists by: -4 8 -31 |