Atkin-Lehner |
2+ 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630bd |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
22394880 |
Modular degree for the optimal curve |
Δ |
4.8069100635501E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-490461949,-4045546074664] |
[a1,a2,a3,a4,a6] |
j |
5434348796727413981963421289/200204500772599833680640 |
j-invariant |
L |
1.7363016175513 |
L(r)(E,1)/r! |
Ω |
0.032153733656749 |
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 |
127890fn1 42630p1 |
Quadratic twists by: -3 -7 |