Atkin-Lehner |
2- 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
25956i |
Isogeny class |
Conductor |
25956 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-1736825768726832 = -1 · 24 · 39 · 72 · 1034 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-222708,40502765] |
[a1,a2,a3,a4,a6] |
j |
-104733026728001536/148904815563 |
j-invariant |
L |
3.7673378367358 |
L(r)(E,1)/r! |
Ω |
0.47091722959196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824cf1 8652b1 |
Quadratic twists by: -4 -3 |