Atkin-Lehner |
2- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25300a |
Isogeny class |
Conductor |
25300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-368051750000 = -1 · 24 · 56 · 112 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11+ -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,542,-28963] |
[a1,a2,a3,a4,a6] |
j |
70304000/1472207 |
j-invariant |
L |
1.8541655268526 |
L(r)(E,1)/r! |
Ω |
0.46354138171317 |
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 |
101200bw1 1012b1 |
Quadratic twists by: -4 5 |