Atkin-Lehner |
2+ 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920j |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
6045701978332800000 = 210 · 39 · 55 · 73 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9608787,-11463779934] |
[a1,a2,a3,a4,a6] |
j |
4867860927988386828/299954571875 |
j-invariant |
L |
1.7149992765667 |
L(r)(E,1)/r! |
Ω |
0.085749978297678 |
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 |
57960bk1 115920b1 |
Quadratic twists by: -4 -3 |