Atkin-Lehner |
2+ 3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670s |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
272357135208000 = 26 · 312 · 53 · 29 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-496620,-134578800] |
[a1,a2,a3,a4,a6] |
j |
18581008947694038721/373603752000 |
j-invariant |
L |
2.8774896738193 |
L(r)(E,1)/r! |
Ω |
0.1798431854037 |
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 |
40890bf1 |
Quadratic twists by: -3 |