Atkin-Lehner |
2+ 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
74704a |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
138650624 = 210 · 7 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131,-110] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] [-2:12:1] |
Generators of the group modulo torsion |
j |
242793828/135401 |
j-invariant |
L |
8.7552566445179 |
L(r)(E,1)/r! |
Ω |
1.5145768686449 |
Real period |
R |
2.8903308989249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37352e1 |
Quadratic twists by: -4 |