Atkin-Lehner |
2+ 3- 7+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294h |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
795648 |
Modular degree for the optimal curve |
Δ |
-1049218179215130624 = -1 · 237 · 3 · 7 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,253791,2668180] |
[a1,a2,a3,a4,a6] |
j |
1807818485740612225271/1049218179215130624 |
j-invariant |
L |
0.16634848417582 |
L(r)(E,1)/r! |
Ω |
0.16634848408033 |
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 |
126882bf1 |
Quadratic twists by: -3 |