Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86700cc |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2754000 |
Modular degree for the optimal curve |
Δ |
1.695109058163E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5117708,4410213588] |
[a1,a2,a3,a4,a6] |
Generators |
[1183:3600:1] |
Generators of the group modulo torsion |
j |
21250000/243 |
j-invariant |
L |
9.1636881896314 |
L(r)(E,1)/r! |
Ω |
0.18176925295973 |
Real period |
R |
3.3609234561337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700m1 86700q1 |
Quadratic twists by: 5 17 |