Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34680v |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
18081163287072000 = 28 · 34 · 53 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111361,12719939] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:5202:1] |
Generators of the group modulo torsion |
j |
85525504/10125 |
j-invariant |
L |
7.0171821224029 |
L(r)(E,1)/r! |
Ω |
0.37498167877932 |
Real period |
R |
0.38986249859624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360m1 104040db1 34680k1 |
Quadratic twists by: -4 -3 17 |