Atkin-Lehner |
3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575g |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
264000 |
Modular degree for the optimal curve |
Δ |
-16607144232421875 = -1 · 33 · 59 · 11 · 315 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2458,-6199557] |
[a1,a2,a3,a4,a6] |
j |
-841232384/8502857847 |
j-invariant |
L |
1.7784532378552 |
L(r)(E,1)/r! |
Ω |
0.17784532378556 |
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 |
76725bd1 25575p1 |
Quadratic twists by: -3 5 |