Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970bw |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
690 |
Product of Tamagawa factors cp |
deg |
3378240 |
Modular degree for the optimal curve |
Δ |
-1.9191061348614E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,853350,2086096167] |
[a1,a2,a3,a4,a6] |
Generators |
[3337:203531:1] |
Generators of the group modulo torsion |
j |
4693907404762135439/131077531238400000 |
j-invariant |
L |
9.1291685389918 |
L(r)(E,1)/r! |
Ω |
0.11123582768728 |
Real period |
R |
0.11894260434529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970j1 |
Quadratic twists by: -11 |