Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12400f |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-1525299200 = -1 · 211 · 52 · 313 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 5 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1915,-32310] |
[a1,a2,a3,a4,a6] |
j |
-15169109490/29791 |
j-invariant |
L |
2.1648484698992 |
L(r)(E,1)/r! |
Ω |
0.36080807831653 |
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 |
6200h1 49600by1 111600bk1 12400l1 |
Quadratic twists by: -4 8 -3 5 |