Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760k |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-5247334400 = -1 · 211 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-3500] |
[a1,a2,a3,a4,a6] |
Generators |
[18:44:1] |
Generators of the group modulo torsion |
j |
-242/175 |
j-invariant |
L |
8.2845246688013 |
L(r)(E,1)/r! |
Ω |
0.6125040184115 |
Real period |
R |
0.56356940929836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33880i1 67760r1 |
Quadratic twists by: -4 -11 |