Atkin-Lehner |
3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
13275f |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56640 |
Modular degree for the optimal curve |
Δ |
-3195007294921875 = -1 · 33 · 510 · 594 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 -4 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11250,-2680469] |
[a1,a2,a3,a4,a6] |
j |
597196800/12117361 |
j-invariant |
L |
1.7427148563017 |
L(r)(E,1)/r! |
Ω |
0.21783935703771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13275c1 13275j1 |
Quadratic twists by: -3 5 |