Atkin-Lehner |
2+ 3- 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770k |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
29664 |
Modular degree for the optimal curve |
Δ |
-22123838070 = -1 · 2 · 33 · 5 · 192 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,701,332] |
[a1,a2,a3,a4,a6] |
j |
38174032970711/22123838070 |
j-invariant |
L |
1.4481924103788 |
L(r)(E,1)/r! |
Ω |
0.72409620518484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104310ci1 |
Quadratic twists by: -3 |