Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694ci |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5436288 |
Modular degree for the optimal curve |
Δ |
-9.0646970167178E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2863286,-2362547725] |
[a1,a2,a3,a4,a6] |
Generators |
[9634119:789564089:1331] |
Generators of the group modulo torsion |
j |
-14846689/5184 |
j-invariant |
L |
8.0698731180017 |
L(r)(E,1)/r! |
Ω |
0.057027265922033 |
Real period |
R |
11.7924193225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999097653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122694u1 122694o1 |
Quadratic twists by: -11 13 |