Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650dw |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
12377326500000000 = 28 · 38 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106430,-12218803] |
[a1,a2,a3,a4,a6] |
j |
93638512421/8692992 |
j-invariant |
L |
4.2543099228438 |
L(r)(E,1)/r! |
Ω |
0.26589437017714 |
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 |
11550bd1 34650cc1 |
Quadratic twists by: -3 5 |