Atkin-Lehner |
11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120263c |
Isogeny class |
Conductor |
120263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190848 |
Modular degree for the optimal curve |
Δ |
4642031537 = 114 · 13 · 293 |
Discriminant |
Eigenvalues |
1 0 -2 2 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114983,15035944] |
[a1,a2,a3,a4,a6] |
Generators |
[-3130:2609:8] [1518:451:8] |
Generators of the group modulo torsion |
j |
6893388410585013/190333 |
j-invariant |
L |
12.274251455244 |
L(r)(E,1)/r! |
Ω |
1.0032201202294 |
Real period |
R |
12.234853752077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120263e1 |
Quadratic twists by: 29 |