Atkin-Lehner |
3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
66063b |
Isogeny class |
Conductor |
66063 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1805760 |
Modular degree for the optimal curve |
Δ |
312250635931346901 = 34 · 198 · 613 |
Discriminant |
Eigenvalues |
-2 3+ 3 -2 4 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-290364,53985728] |
[a1,a2,a3,a4,a6] |
j |
159413358592/18385461 |
j-invariant |
L |
1.7758726953515 |
L(r)(E,1)/r! |
Ω |
0.29597878271905 |
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 |
66063j1 |
Quadratic twists by: -19 |