Atkin-Lehner |
3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893i |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
96802592283657 = 37 · 13 · 237 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90558,-10455809] |
[a1,a2,a3,a4,a6] |
j |
761048497/897 |
j-invariant |
L |
2.2018531309005 |
L(r)(E,1)/r! |
Ω |
0.2752316411478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20631c1 2691c1 |
Quadratic twists by: -3 -23 |