Atkin-Lehner |
3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925p |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
440710942869140625 = 312 · 59 · 114 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1136075,-465456000] |
[a1,a2,a3,a4,a6] |
j |
83026222603966277/225644002749 |
j-invariant |
L |
2.3401229563754 |
L(r)(E,1)/r! |
Ω |
0.14625768477346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71775br1 23925bf1 |
Quadratic twists by: -3 5 |