Atkin-Lehner |
2+ 5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030u |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-9468973882550 = -1 · 2 · 52 · 79 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -3 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-147173,-21744194] |
[a1,a2,a3,a4,a6] |
Generators |
[5870:127401:8] |
Generators of the group modulo torsion |
j |
-2996509495178809/80484950 |
j-invariant |
L |
5.0037953941953 |
L(r)(E,1)/r! |
Ω |
0.12187431197097 |
Real period |
R |
2.5660633712198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000137364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17290c1 |
Quadratic twists by: -7 |