Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cb |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
19765032000 = 26 · 3 · 53 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6778,216952] |
[a1,a2,a3,a4,a6] |
Generators |
[27:230:1] |
Generators of the group modulo torsion |
j |
36594368/21 |
j-invariant |
L |
7.1228334774845 |
L(r)(E,1)/r! |
Ω |
1.2034400060386 |
Real period |
R |
2.959363745891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ih1 117600ie1 16800bb1 |
Quadratic twists by: -4 5 -7 |