Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bc |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
46448640 |
Modular degree for the optimal curve |
Δ |
3.4499481195588E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3182766633,69105455260488] |
[a1,a2,a3,a4,a6] |
Generators |
[43803:3706425:1] |
Generators of the group modulo torsion |
j |
590887175978458660864/57171426328125 |
j-invariant |
L |
9.1269521599049 |
L(r)(E,1)/r! |
Ω |
0.051667884403405 |
Real period |
R |
1.8400679548391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17340d1 5100a1 |
Quadratic twists by: 5 17 |