Atkin-Lehner |
2+ 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030q |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-550686500 = -1 · 22 · 53 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -2 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67,1121] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-31:1] [-74:297:8] |
Generators of the group modulo torsion |
j |
-99252847/1605500 |
j-invariant |
L |
7.6992792861106 |
L(r)(E,1)/r! |
Ω |
1.3859373260935 |
Real period |
R |
0.23147028166441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000010844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030h1 |
Quadratic twists by: -7 |