Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020j |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
53568 |
Modular degree for the optimal curve |
Δ |
899244363600 = 24 · 33 · 52 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2641,24584] |
[a1,a2,a3,a4,a6] |
j |
127371823366144/56202772725 |
j-invariant |
L |
2.3910704815719 |
L(r)(E,1)/r! |
Ω |
0.79702349385847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
124080bf1 93060r1 |
Quadratic twists by: -4 -3 |