Atkin-Lehner |
2+ 5- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18910c |
Isogeny class |
Conductor |
18910 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-236375000000 = -1 · 26 · 59 · 31 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 0 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-123163,16626406] |
[a1,a2,a3,a4,a6] |
j |
-206613845039187455401/236375000000 |
j-invariant |
L |
1.6701631932913 |
L(r)(E,1)/r! |
Ω |
0.83508159664566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94550p1 |
Quadratic twists by: 5 |