Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640q |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12544 |
Modular degree for the optimal curve |
Δ |
172627200 = 28 · 36 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -3 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,1404] |
[a1,a2,a3,a4,a6] |
j |
9483264/925 |
j-invariant |
L |
3.5148016382442 |
L(r)(E,1)/r! |
Ω |
1.757400819122 |
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 |
13320q1 106560eo1 2960a1 |
Quadratic twists by: -4 8 -3 |