Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18850h |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-444153125000 = -1 · 23 · 58 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -3 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,175,32125] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:170:1] [11:183:1] |
Generators of the group modulo torsion |
j |
1503815/1137032 |
j-invariant |
L |
4.3887056579058 |
L(r)(E,1)/r! |
Ω |
0.73309391451601 |
Real period |
R |
0.49887942629246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18850t1 |
Quadratic twists by: 5 |