Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970bg |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
3360000 |
Modular degree for the optimal curve |
Δ |
-5.0923649631191E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1129532,982586306] |
[a1,a2,a3,a4,a6] |
Generators |
[385:-38593:1] |
Generators of the group modulo torsion |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
6.9182017089995 |
L(r)(E,1)/r! |
Ω |
0.11672680315038 |
Real period |
R |
1.1853664320923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570l1 |
Quadratic twists by: -11 |