Atkin-Lehner |
2- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618z |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9313920 |
Modular degree for the optimal curve |
Δ |
-3103059161356 = -1 · 22 · 7 · 119 · 47 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 11+ 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-151364287,716763035781] |
[a1,a2,a3,a4,a6] |
Generators |
[7106:-3125:1] |
Generators of the group modulo torsion |
j |
-162652148514673226963/1316 |
j-invariant |
L |
3.6806178349952 |
L(r)(E,1)/r! |
Ω |
0.26960162389047 |
Real period |
R |
3.4130152671489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618b1 |
Quadratic twists by: -11 |