Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66978j |
Isogeny class |
Conductor |
66978 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1249920 |
Modular degree for the optimal curve |
Δ |
-123717214482802686 = -1 · 2 · 39 · 617 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 6 -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-257447,53114077] |
[a1,a2,a3,a4,a6] |
j |
-1860867/122 |
j-invariant |
L |
2.6022219646998 |
L(r)(E,1)/r! |
Ω |
0.3252777460165 |
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 |
66978a1 1098a1 |
Quadratic twists by: -3 61 |