Atkin-Lehner |
3- 5- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24645g |
Isogeny class |
Conductor |
24645 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
-1515898546875 = -1 · 310 · 56 · 31 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 -6 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12230,519884] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-68:1] [-114:667:1] |
Generators of the group modulo torsion |
j |
-202319896114671616/1515898546875 |
j-invariant |
L |
4.6974403948629 |
L(r)(E,1)/r! |
Ω |
0.85272833235623 |
Real period |
R |
0.091811976073752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73935f1 123225b1 |
Quadratic twists by: -3 5 |