Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850r |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
30588740000000 = 28 · 57 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8192,105216] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:643:1] |
Generators of the group modulo torsion |
j |
33076161/16640 |
j-invariant |
L |
4.0471362667926 |
L(r)(E,1)/r! |
Ω |
0.58420142373917 |
Real period |
R |
0.86595481077586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370l1 650a1 |
Quadratic twists by: 5 -7 |