Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20720k |
Isogeny class |
Conductor |
20720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-265216000 = -1 · 213 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,896] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
-24137569/64750 |
j-invariant |
L |
6.9097174866136 |
L(r)(E,1)/r! |
Ω |
1.5393372822066 |
Real period |
R |
1.1221903033344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2590d1 82880bw1 103600bl1 |
Quadratic twists by: -4 8 5 |