Atkin-Lehner |
2+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125120t |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-90016332800 = -1 · 210 · 52 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 2 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,879,10679] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1955:1] |
Generators of the group modulo torsion |
j |
73264941824/87906575 |
j-invariant |
L |
7.2073623535398 |
L(r)(E,1)/r! |
Ω |
0.71773415819817 |
Real period |
R |
0.83681892279867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120cc1 15640i1 |
Quadratic twists by: -4 8 |