Atkin-Lehner |
2+ 5+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030b |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
330624 |
Modular degree for the optimal curve |
Δ |
-112545518146880 = -1 · 26 · 5 · 78 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -2 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6982,-455468] |
[a1,a2,a3,a4,a6] |
Generators |
[92:-1034:1] |
Generators of the group modulo torsion |
j |
6528023831/19522880 |
j-invariant |
L |
3.0480934168671 |
L(r)(E,1)/r! |
Ω |
0.30354065842341 |
Real period |
R |
1.2552245133073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030l1 |
Quadratic twists by: -7 |