Atkin-Lehner |
2+ 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
39650d |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
4.05782134784E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2603151,1293621698] |
[a1,a2,a3,a4,a6] |
j |
124853732088588711649/25970056626176000 |
j-invariant |
L |
0.63703591917331 |
L(r)(E,1)/r! |
Ω |
0.15925897978449 |
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 |
7930a1 |
Quadratic twists by: 5 |