Atkin-Lehner |
2+ 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030c |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-20561200430680 = -1 · 23 · 5 · 78 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3309,229856] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:502:1] |
Generators of the group modulo torsion |
j |
-694769929/3566680 |
j-invariant |
L |
2.7125241391948 |
L(r)(E,1)/r! |
Ω |
0.59157332998674 |
Real period |
R |
4.5852710190708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000344887 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121030n1 |
Quadratic twists by: -7 |