Atkin-Lehner |
3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
11925d |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-107987396484375 = -1 · 39 · 59 · 532 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10167,-634384] |
[a1,a2,a3,a4,a6] |
j |
-377933067/351125 |
j-invariant |
L |
0.4579296365921 |
L(r)(E,1)/r! |
Ω |
0.22896481829605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11925a1 2385c1 |
Quadratic twists by: -3 5 |