Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23940t |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-11879465419710000 = -1 · 24 · 312 · 54 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15828,-5187611] |
[a1,a2,a3,a4,a6] |
j |
37597098131456/1018472686875 |
j-invariant |
L |
2.3307539799848 |
L(r)(E,1)/r! |
Ω |
0.19422949833207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ek1 7980d1 119700q1 |
Quadratic twists by: -4 -3 5 |