Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650s |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
306687413200 = 24 · 52 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2478,39092] |
[a1,a2,a3,a4,a6] |
j |
67312940590345/12267496528 |
j-invariant |
L |
3.6881024951358 |
L(r)(E,1)/r! |
Ω |
0.92202562378395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200cw1 59850bd1 6650n1 46550cm1 |
Quadratic twists by: -4 -3 5 -7 |