Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210dm |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4727808 |
Modular degree for the optimal curve |
Δ |
-373708827521767800 = -1 · 23 · 39 · 52 · 377 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 -1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10657922,13395050169] |
[a1,a2,a3,a4,a6] |
j |
-71581931663761/199800 |
j-invariant |
L |
6.2864905918269 |
L(r)(E,1)/r! |
Ω |
0.26193710270677 |
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 |
41070d1 3330h1 |
Quadratic twists by: -3 37 |