Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800bg |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
522000000000 = 210 · 32 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30408,-2050812] |
[a1,a2,a3,a4,a6] |
Generators |
[1248:43650:1] |
Generators of the group modulo torsion |
j |
194348673796/32625 |
j-invariant |
L |
6.2983572013675 |
L(r)(E,1)/r! |
Ω |
0.36153951831796 |
Real period |
R |
4.3552342705648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400bc1 104400s1 6960f1 |
Quadratic twists by: -4 -3 5 |