Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640cd |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
56770560 |
Modular degree for the optimal curve |
Δ |
1.3710130122331E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-819544535,7058013494952] |
[a1,a2,a3,a4,a6] |
Generators |
[402395549829935:1823066803091303:17881958375] |
Generators of the group modulo torsion |
j |
2147658844706816042407936/483688189481299210485 |
j-invariant |
L |
5.9181640272163 |
L(r)(E,1)/r! |
Ω |
0.037418079244853 |
Real period |
R |
19.770402927113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996305 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240g1 |
Quadratic twists by: -11 |