Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dd |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-17266731955200 = -1 · 210 · 32 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4681,-235252] |
[a1,a2,a3,a4,a6] |
j |
-78683185/119808 |
j-invariant |
L |
3.2859655030032 |
L(r)(E,1)/r! |
Ω |
0.27383046663428 |
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 |
95550hs1 95550bw1 |
Quadratic twists by: 5 -7 |