Atkin-Lehner |
2+ 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050bi |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
1113840 |
Modular degree for the optimal curve |
Δ |
-850969901250000000 = -1 · 27 · 313 · 510 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,139674,-39562952] |
[a1,a2,a3,a4,a6] |
j |
30858502764575/87139317888 |
j-invariant |
L |
1.8790647473726 |
L(r)(E,1)/r! |
Ω |
0.14454344305272 |
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 |
64050ce1 |
Quadratic twists by: 5 |