Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050bv |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-655872000000 = -1 · 215 · 3 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,612,38781] |
[a1,a2,a3,a4,a6] |
Generators |
[45:377:1] |
Generators of the group modulo torsion |
j |
1622234375/41975808 |
j-invariant |
L |
8.5354730313166 |
L(r)(E,1)/r! |
Ω |
0.68308313857965 |
Real period |
R |
0.41651704111219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562d1 |
Quadratic twists by: 5 |