Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cf |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-32798658816 = -1 · 28 · 32 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,180,-8604] |
[a1,a2,a3,a4,a6] |
Generators |
[44:294:1] |
Generators of the group modulo torsion |
j |
176/9 |
j-invariant |
L |
8.0348745698586 |
L(r)(E,1)/r! |
Ω |
0.55876957640129 |
Real period |
R |
1.1982987426161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1452b1 71148cd1 |
Quadratic twists by: -7 -11 |