Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400fh |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4875000000 = -1 · 26 · 3 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117,-3363] |
[a1,a2,a3,a4,a6] |
Generators |
[52:375:1] |
Generators of the group modulo torsion |
j |
175616/4875 |
j-invariant |
L |
3.4458688522834 |
L(r)(E,1)/r! |
Ω |
0.66125106409456 |
Real period |
R |
1.3027838589312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400hp1 31200ca1 12480da1 |
Quadratic twists by: -4 8 5 |