Atkin-Lehner |
3+ 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25935g |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-148685355 = -1 · 33 · 5 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,114,-394] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-46:1] |
Generators of the group modulo torsion |
j |
162413858816/148685355 |
j-invariant |
L |
1.8255833247854 |
L(r)(E,1)/r! |
Ω |
1.0031676400649 |
Real period |
R |
0.30330313231051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77805ba1 129675bc1 |
Quadratic twists by: -3 5 |