Atkin-Lehner |
2+ 3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69936h |
Isogeny class |
Conductor |
69936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-9860976 = -1 · 24 · 32 · 31 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 0 0 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,167] |
[a1,a2,a3,a4,a6] |
Generators |
[58:141:8] |
Generators of the group modulo torsion |
j |
-453519616/616311 |
j-invariant |
L |
10.320341387163 |
L(r)(E,1)/r! |
Ω |
2.0687331871696 |
Real period |
R |
1.2471813004556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34968e1 |
Quadratic twists by: -4 |