Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
41070r |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
435597256949760 = 218 · 38 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18973,56888] |
[a1,a2,a3,a4,a6] |
j |
14910549714397/8599633920 |
j-invariant |
L |
3.6029113688943 |
L(r)(E,1)/r! |
Ω |
0.45036392110513 |
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 |
123210dc1 41070bg1 |
Quadratic twists by: -3 37 |