Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240bo |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-745329600 = -1 · 26 · 38 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,123,-1204] |
[a1,a2,a3,a4,a6] |
Generators |
[31:180:1] |
Generators of the group modulo torsion |
j |
4410944/15975 |
j-invariant |
L |
7.1849545859608 |
L(r)(E,1)/r! |
Ω |
0.81405218659598 |
Real period |
R |
2.2065399149449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240k1 34080a1 |
Quadratic twists by: -4 -3 |