Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928f |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
652437504 = 211 · 36 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -1 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-214] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] |
Generators of the group modulo torsion |
j |
778034/437 |
j-invariant |
L |
5.3268057895934 |
L(r)(E,1)/r! |
Ω |
1.3348557992592 |
Real period |
R |
1.99527386857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31464l1 6992c1 |
Quadratic twists by: -4 -3 |