Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235j |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-30685705875 = -1 · 36 · 53 · 114 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 11- -4 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2178,-40021] |
[a1,a2,a3,a4,a6] |
Generators |
[361:6798:1] |
Generators of the group modulo torsion |
j |
-107053056/2875 |
j-invariant |
L |
4.1593603994232 |
L(r)(E,1)/r! |
Ω |
0.34887262329239 |
Real period |
R |
5.9611448590827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997831275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915k1 125235i1 |
Quadratic twists by: -3 -11 |