Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35550k |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-12957975000000 = -1 · 26 · 38 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333,-173259] |
[a1,a2,a3,a4,a6] |
j |
357911/1137600 |
j-invariant |
L |
1.315468866513 |
L(r)(E,1)/r! |
Ω |
0.32886721662408 |
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 |
11850ba1 7110t1 |
Quadratic twists by: -3 5 |