Atkin-Lehner |
2- 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bn |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
4610211840 = 214 · 32 · 5 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:48:1] |
Generators of the group modulo torsion |
j |
1948441249/1125540 |
j-invariant |
L |
4.6822010834956 |
L(r)(E,1)/r! |
Ω |
1.1545888323701 |
Real period |
R |
1.0138243381688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bi1 |
Quadratic twists by: -4 |