Atkin-Lehner |
2- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13640i |
Isogeny class |
Conductor |
13640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
85250000 = 24 · 56 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-155,-650] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] [-5:5:1] |
Generators of the group modulo torsion |
j |
25905842176/5328125 |
j-invariant |
L |
5.0223167037544 |
L(r)(E,1)/r! |
Ω |
1.3718918882071 |
Real period |
R |
1.2202897198454 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27280h1 109120b1 122760i1 68200g1 |
Quadratic twists by: -4 8 -3 5 |