Atkin-Lehner |
3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925a |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6520057822265625 = 38 · 510 · 112 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-69875,5925000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1762:27039:8] [-124:3626:1] |
Generators of the group modulo torsion |
j |
2414787172415281/417283700625 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
71775bg2 4785c2 |
Quadratic twists by: -3 5 |