Atkin-Lehner |
2+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646g |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
20478390055860772 = 22 · 711 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-541312,153272748] |
[a1,a2,a3,a4,a6] |
Generators |
[1283:38975:1] |
Generators of the group modulo torsion |
j |
149100427176359625/174063443428 |
j-invariant |
L |
4.1109993576721 |
L(r)(E,1)/r! |
Ω |
0.38267830411601 |
Real period |
R |
2.685675744789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378e1 |
Quadratic twists by: -7 |