Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15376c |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
945685504 = 210 · 314 |
Discriminant |
Eigenvalues |
2+ -1 1 -3 5 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,1744] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:62:1] |
Generators of the group modulo torsion |
j |
3844 |
j-invariant |
L |
3.9376668638478 |
L(r)(E,1)/r! |
Ω |
1.4676934335194 |
Real period |
R |
0.2235745543494 |
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 |
7688a1 61504bf1 15376g1 |
Quadratic twists by: -4 8 -31 |