Atkin-Lehner |
3- 5- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805u |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-207689165775 = -1 · 37 · 52 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1363,9924] |
[a1,a2,a3,a4,a6] |
Generators |
[2:111:1] [57:491:1] |
Generators of the group modulo torsion |
j |
384399163511/284895975 |
j-invariant |
L |
7.2178506770257 |
L(r)(E,1)/r! |
Ω |
0.6387847405872 |
Real period |
R |
5.6496736838165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25935a1 |
Quadratic twists by: -3 |