Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
117670l |
Isogeny class |
Conductor |
117670 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6943104 |
Modular degree for the optimal curve |
Δ |
-2.1910634828708E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 2 -3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14601201,21485480681] |
[a1,a2,a3,a4,a6] |
Generators |
[1366:63267:1] |
Generators of the group modulo torsion |
j |
-43114027929169/27440000 |
j-invariant |
L |
12.120938048483 |
L(r)(E,1)/r! |
Ω |
0.17537347393226 |
Real period |
R |
4.9367858627192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117670n1 |
Quadratic twists by: 41 |