Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59840bf |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
-4675000000 = -1 · 26 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 3 11+ 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-635,6775] |
[a1,a2,a3,a4,a6] |
Generators |
[30:125:1] |
Generators of the group modulo torsion |
j |
-443147866624/73046875 |
j-invariant |
L |
5.2183525833122 |
L(r)(E,1)/r! |
Ω |
1.3232186035004 |
Real period |
R |
0.49296017391125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840bl1 29920d1 |
Quadratic twists by: -4 8 |