Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
616b |
Isogeny class |
Conductor |
616 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-7622304186112 = -1 · 28 · 75 · 116 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11+ 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3828,95348] |
[a1,a2,a3,a4,a6] |
j |
24226243449392/29774625727 |
j-invariant |
L |
2.483500673188 |
L(r)(E,1)/r! |
Ω |
0.4967001346376 |
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 |
1232d1 4928r1 5544x1 15400m1 |
Quadratic twists by: -4 8 -3 5 |