Atkin-Lehner |
2+ 3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670ba |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-103019247360 = -1 · 28 · 310 · 5 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,846,11988] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:41:1] |
Generators of the group modulo torsion |
j |
91794884831/141315840 |
j-invariant |
L |
5.1793434879793 |
L(r)(E,1)/r! |
Ω |
0.72198442227155 |
Real period |
R |
3.5868803852676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999276937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890bb1 |
Quadratic twists by: -3 |