Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650db |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
18133231753728000 = 212 · 311 · 53 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-111143,-12714423] |
[a1,a2,a3,a4,a6] |
Generators |
[1942:-85211:1] |
Generators of the group modulo torsion |
j |
1214675547724509317/145065854029824 |
j-invariant |
L |
8.182259151176 |
L(r)(E,1)/r! |
Ω |
0.2635161555019 |
Real period |
R |
0.11761482257752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200fb1 40950cc1 13650s1 95550hu1 |
Quadratic twists by: -4 -3 5 -7 |