Atkin-Lehner |
2+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20720b |
Isogeny class |
Conductor |
20720 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
111936 |
Modular degree for the optimal curve |
Δ |
-146322178982000 = -1 · 24 · 53 · 711 · 37 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -4 6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,617,581957] |
[a1,a2,a3,a4,a6] |
j |
1623525901056/9145136186375 |
j-invariant |
L |
5.0181264484404 |
L(r)(E,1)/r! |
Ω |
0.45619331349458 |
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 |
10360a1 82880bx1 103600k1 |
Quadratic twists by: -4 8 5 |