Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bb |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
5046981632 = 210 · 7 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12453,539045] |
[a1,a2,a3,a4,a6] |
j |
208583809024000/4928693 |
j-invariant |
L |
1.2631123198179 |
L(r)(E,1)/r! |
Ω |
1.2631130083207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344dp1 7084j1 |
Quadratic twists by: -4 8 |