Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575h |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-4406142919921875 = -1 · 37 · 511 · 113 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-379533,89926094] |
[a1,a2,a3,a4,a6] |
Generators |
[438:-2813:1] |
Generators of the group modulo torsion |
j |
-386948760982257664/281993146875 |
j-invariant |
L |
4.1983171138961 |
L(r)(E,1)/r! |
Ω |
0.43261946017211 |
Real period |
R |
0.34658611257388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76725v1 5115a1 |
Quadratic twists by: -3 5 |