Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fb |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
7.427371726327E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1778288,813723072] |
[a1,a2,a3,a4,a6] |
Generators |
[1722:53430:1] |
Generators of the group modulo torsion |
j |
1214675547724509317/145065854029824 |
j-invariant |
L |
6.1548690886354 |
L(r)(E,1)/r! |
Ω |
0.18739372191246 |
Real period |
R |
4.1055731548994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650db1 109200gr1 |
Quadratic twists by: -4 5 |