Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328o |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-1924456983552 = -1 · 210 · 311 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1680,61256] |
[a1,a2,a3,a4,a6] |
Generators |
[337:6237:1] |
Generators of the group modulo torsion |
j |
702464000/2577987 |
j-invariant |
L |
8.1072806748747 |
L(r)(E,1)/r! |
Ω |
0.59097722971175 |
Real period |
R |
3.429607888042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59328be1 3708b1 19776d1 |
Quadratic twists by: -4 8 -3 |