Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12350b |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-2.07910862848E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -1 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1581992,2324036416] |
[a1,a2,a3,a4,a6] |
j |
-44837012950761825/212900723556352 |
j-invariant |
L |
0.51037544218686 |
L(r)(E,1)/r! |
Ω |
0.12759386054672 |
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 |
98800bd1 111150ei1 12350y1 |
Quadratic twists by: -4 -3 5 |