Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bp |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
167670000000000 = 210 · 36 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46875,3856250] |
[a1,a2,a3,a4,a6] |
Generators |
[139:162:1] |
Generators of the group modulo torsion |
j |
1562500/23 |
j-invariant |
L |
6.4293895654103 |
L(r)(E,1)/r! |
Ω |
0.57450088758894 |
Real period |
R |
2.7978153308551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41400bp1 9200c1 82800bx1 |
Quadratic twists by: -4 -3 5 |