Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25840c |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2067200 = -1 · 28 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 2 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-361,-2765] |
[a1,a2,a3,a4,a6] |
j |
-20380171264/8075 |
j-invariant |
L |
1.0949952263509 |
L(r)(E,1)/r! |
Ω |
0.54749761317556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12920b1 103360cr1 129200c1 |
Quadratic twists by: -4 8 5 |