Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290c |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1357824 |
Modular degree for the optimal curve |
Δ |
5642011017216000000 = 226 · 33 · 56 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1036455,389987325] |
[a1,a2,a3,a4,a6] |
j |
4560490302781131326187/208963371008000000 |
j-invariant |
L |
1.9020498892274 |
L(r)(E,1)/r! |
Ω |
0.2377562358991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290bx1 |
Quadratic twists by: -3 |