Atkin-Lehner |
2+ 3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118j |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
312550319844 = 22 · 38 · 72 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2133,27265] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:236:1] |
Generators of the group modulo torsion |
j |
1472594839633/428738436 |
j-invariant |
L |
3.4698043794052 |
L(r)(E,1)/r! |
Ω |
0.89928600621551 |
Real period |
R |
0.96459979238032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20706r2 |
Quadratic twists by: -3 |