Atkin-Lehner |
2+ 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440f |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
249350400 = 28 · 34 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3996,-95904] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3876:1] |
Generators of the group modulo torsion |
j |
27572037674704/974025 |
j-invariant |
L |
6.8056238721748 |
L(r)(E,1)/r! |
Ω |
0.60046133690226 |
Real period |
R |
5.6669959202696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999693861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720l1 |
Quadratic twists by: -4 |