Atkin-Lehner |
3- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61335i |
Isogeny class |
Conductor |
61335 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1279488 |
Modular degree for the optimal curve |
Δ |
4182183883338046875 = 36 · 57 · 294 · 473 |
Discriminant |
Eigenvalues |
1 3- 5- 1 -3 -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2259519,-1303017850] |
[a1,a2,a3,a4,a6] |
j |
1750025128545654906609/5736877754921875 |
j-invariant |
L |
3.448571041523 |
L(r)(E,1)/r! |
Ω |
0.12316325144119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6815b1 |
Quadratic twists by: -3 |