Atkin-Lehner |
2+ 3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610h |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1213056 |
Modular degree for the optimal curve |
Δ |
-23649788657664000 = -1 · 218 · 33 · 53 · 133 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28798,-7646348] |
[a1,a2,a3,a4,a6] |
j |
-1202276063628037/10764582912000 |
j-invariant |
L |
0.64180758489701 |
L(r)(E,1)/r! |
Ω |
0.16045191672851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610cf1 |
Quadratic twists by: 13 |