Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680x |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-24459227100000000 = -1 · 28 · 33 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6876,7525440] |
[a1,a2,a3,a4,a6] |
j |
-1193895376/812109375 |
j-invariant |
L |
3.672162872218 |
L(r)(E,1)/r! |
Ω |
0.30601357255493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360l1 9240i1 |
Quadratic twists by: -4 -7 |