Atkin-Lehner |
7+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83993a |
Isogeny class |
Conductor |
83993 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
89760 |
Modular degree for the optimal curve |
Δ |
-5759816699273 = -1 · 75 · 136 · 71 |
Discriminant |
Eigenvalues |
-1 -1 0 7+ -1 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4137,-51602] |
[a1,a2,a3,a4,a6] |
Generators |
[14:89:1] |
Generators of the group modulo torsion |
j |
1622234375/1193297 |
j-invariant |
L |
1.8023469521203 |
L(r)(E,1)/r! |
Ω |
0.42557565385837 |
Real period |
R |
4.2350800329368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
497a1 |
Quadratic twists by: 13 |