Atkin-Lehner |
2- 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118776q |
Isogeny class |
Conductor |
118776 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-2234214279456768 = -1 · 211 · 32 · 76 · 1013 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59600,-6064416] |
[a1,a2,a3,a4,a6] |
Generators |
[251545:6372696:343] |
Generators of the group modulo torsion |
j |
-97174336898/9272709 |
j-invariant |
L |
6.4203372902333 |
L(r)(E,1)/r! |
Ω |
0.15195281307085 |
Real period |
R |
7.0420296985198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999310349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2424f1 |
Quadratic twists by: -7 |