Atkin-Lehner |
2+ 3+ 7+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39858a |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11713536 |
Modular degree for the optimal curve |
Δ |
3.8040411945179E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-244447072,-1470845545472] |
[a1,a2,a3,a4,a6] |
j |
1615393138265487096628217381641/380404119451790972289024 |
j-invariant |
L |
0.076364142044081 |
L(r)(E,1)/r! |
Ω |
0.038182071071864 |
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 |
119574bb1 |
Quadratic twists by: -3 |