Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64980b |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-26742997706880240 = -1 · 24 · 39 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185193,-31668003] |
[a1,a2,a3,a4,a6] |
j |
-131328/5 |
j-invariant |
L |
0.68888330198281 |
L(r)(E,1)/r! |
Ω |
0.11481388492685 |
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 |
64980f1 64980d1 |
Quadratic twists by: -3 -19 |