Atkin-Lehner |
2+ 5- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60680c |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2415432934400 = 210 · 52 · 372 · 413 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22480,-1302672] |
[a1,a2,a3,a4,a6] |
Generators |
[308:4592:1] |
Generators of the group modulo torsion |
j |
1226964493788484/2358821225 |
j-invariant |
L |
5.762825797257 |
L(r)(E,1)/r! |
Ω |
0.3899411108882 |
Real period |
R |
2.4631179924182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360i1 |
Quadratic twists by: -4 |