Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cu |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-226135417725000 = -1 · 23 · 32 · 55 · 72 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -5 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-94256,11153736] |
[a1,a2,a3,a4,a6] |
j |
-1889970111815574481/4615008525000 |
j-invariant |
L |
3.362376125553 |
L(r)(E,1)/r! |
Ω |
0.5603960209232 |
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 |
127890cv1 42630cn1 |
Quadratic twists by: -3 -7 |