Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582r |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
313600 |
Modular degree for the optimal curve |
Δ |
4904637632061898752 = 220 · 37 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-945358,336966923] |
[a1,a2,a3,a4,a6] |
j |
2315422727572375/121541492736 |
j-invariant |
L |
2.3993900942003 |
L(r)(E,1)/r! |
Ω |
0.23993900942003 |
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 |
124656dt1 46746i1 15582x1 |
Quadratic twists by: -4 -3 -7 |