Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970g |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5078016 |
Modular degree for the optimal curve |
Δ |
-1.850989713408E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- -1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9013413,-10439850483] |
[a1,a2,a3,a4,a6] |
Generators |
[50871:11428002:1] |
Generators of the group modulo torsion |
j |
-5531219079301909346089/12642508800000000 |
j-invariant |
L |
2.6864830851583 |
L(r)(E,1)/r! |
Ω |
0.043559989044583 |
Real period |
R |
5.1394317443357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970bn1 |
Quadratic twists by: -11 |