Atkin-Lehner |
3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925a |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-157708740234375 = -1 · 34 · 514 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8250,534375] |
[a1,a2,a3,a4,a6] |
Generators |
[14:801:1] [30:885:1] |
Generators of the group modulo torsion |
j |
3973592034719/10093359375 |
j-invariant |
L |
7.9054000248865 |
L(r)(E,1)/r! |
Ω |
0.4027717603543 |
Real period |
R |
9.8137466464052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71775bg1 4785c1 |
Quadratic twists by: -3 5 |