Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215w |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
649152 |
Modular degree for the optimal curve |
Δ |
-5425990703251755 = -1 · 3 · 5 · 78 · 137 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ -1 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,38645,-2015427] |
[a1,a2,a3,a4,a6] |
j |
229376/195 |
j-invariant |
L |
1.4201466532001 |
L(r)(E,1)/r! |
Ω |
0.23669098358608 |
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 |
124215bz1 9555a1 |
Quadratic twists by: -7 13 |