Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970bn |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
55858176 |
Modular degree for the optimal curve |
Δ |
-3.2791411876748E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1090623036,13889987877789] |
[a1,a2,a3,a4,a6] |
Generators |
[19789:230105:1] |
Generators of the group modulo torsion |
j |
-5531219079301909346089/12642508800000000 |
j-invariant |
L |
9.0114464604044 |
L(r)(E,1)/r! |
Ω |
0.054308668184934 |
Real period |
R |
2.1832916901226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970g1 |
Quadratic twists by: -11 |