Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810k |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
635298696396800 = 221 · 52 · 594 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -6 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29661,-1550159] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:687:1] |
Generators of the group modulo torsion |
j |
238162810849/52428800 |
j-invariant |
L |
3.9114752066761 |
L(r)(E,1)/r! |
Ω |
0.36949947107212 |
Real period |
R |
0.75613392728385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34810c1 |
Quadratic twists by: -59 |