Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5980c |
Isogeny class |
Conductor |
5980 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39552 |
Modular degree for the optimal curve |
Δ |
22737081250000 = 24 · 58 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 0 5- 2 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1692532,847526781] |
[a1,a2,a3,a4,a6] |
Generators |
[687:3000:1] |
Generators of the group modulo torsion |
j |
33513083981967002812416/1421067578125 |
j-invariant |
L |
4.3495777374237 |
L(r)(E,1)/r! |
Ω |
0.50313991240455 |
Real period |
R |
2.161216805797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23920p1 95680g1 53820j1 29900f1 |
Quadratic twists by: -4 8 -3 5 |