Atkin-Lehner |
2- 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25668f |
Isogeny class |
Conductor |
25668 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
3592698624 = 28 · 39 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 -5 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,1046] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:54:1] [-5:54:1] |
Generators of the group modulo torsion |
j |
37642192/19251 |
j-invariant |
L |
5.9145085011507 |
L(r)(E,1)/r! |
Ω |
1.2385699330063 |
Real period |
R |
0.3979393454458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102672cb1 8556c1 |
Quadratic twists by: -4 -3 |