Atkin-Lehner |
2+ 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672q |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
133062912 = 28 · 36 · 23 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2151,-38394] |
[a1,a2,a3,a4,a6] |
Generators |
[54:54:1] [73:440:1] |
Generators of the group modulo torsion |
j |
5897629008/713 |
j-invariant |
L |
7.8055521254784 |
L(r)(E,1)/r! |
Ω |
0.70103968346479 |
Real period |
R |
11.134251467055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001789 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51336e1 11408a1 |
Quadratic twists by: -4 -3 |