Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25392m |
Isogeny class |
Conductor |
25392 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1457280 |
Modular degree for the optimal curve |
Δ |
-4330284242098176 = -1 · 211 · 33 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 5 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104145464,-409115098764] |
[a1,a2,a3,a4,a6] |
Generators |
[307227985161986:-49366707548653860:10317519233] |
Generators of the group modulo torsion |
j |
-778918741604594/27 |
j-invariant |
L |
6.7792987060558 |
L(r)(E,1)/r! |
Ω |
0.023629768607308 |
Real period |
R |
23.908044476714 |
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 |
12696e1 101568cg1 76176f1 25392i1 |
Quadratic twists by: -4 8 -3 -23 |