Atkin-Lehner |
2+ 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376i |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-224142336 = -1 · 210 · 33 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11+ -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-720,7236] |
[a1,a2,a3,a4,a6] |
Generators |
[24:66:1] |
Generators of the group modulo torsion |
j |
-40366797124/218889 |
j-invariant |
L |
7.8054086700077 |
L(r)(E,1)/r! |
Ω |
1.7783594785146 |
Real period |
R |
0.36575885267243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17688f1 106128q1 |
Quadratic twists by: -4 -3 |