Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480cv |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
91 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-295791186130513920 = -1 · 212 · 313 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132699,-18354861] |
[a1,a2,a3,a4,a6] |
Generators |
[462:11907:1] |
Generators of the group modulo torsion |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
5.9310119506472 |
L(r)(E,1)/r! |
Ω |
0.16552078046266 |
Real period |
R |
0.39376297839726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1155b1 73920fr1 55440ep1 92400ds1 |
Quadratic twists by: -4 8 -3 5 |