Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11925k |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-3542526541669921875 = -1 · 317 · 510 · 532 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 4 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1976250,-1073155469] |
[a1,a2,a3,a4,a6] |
j |
-119900719513600/497605923 |
j-invariant |
L |
2.0368132257902 |
L(r)(E,1)/r! |
Ω |
0.063650413305945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3975c1 11925y1 |
Quadratic twists by: -3 5 |