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 |
Δ |
1539500032 = 211 · 72 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1291,17754] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:42:1] [-1:138:1] |
Generators of the group modulo torsion |
j |
116190999234/751709 |
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 |
37352e2 |
Quadratic twists by: -4 |