Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715bi |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-448912885849374555 = -1 · 315 · 5 · 7 · 197 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,158118,21295480] |
[a1,a2,a3,a4,a6] |
Generators |
[-2850:49985:27] |
Generators of the group modulo torsion |
j |
12747309056/13089195 |
j-invariant |
L |
7.2711264738996 |
L(r)(E,1)/r! |
Ω |
0.19605347846936 |
Real period |
R |
4.6359330856157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37905e1 5985r1 |
Quadratic twists by: -3 -19 |