Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cn |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
4315680000000000 = 214 · 36 · 510 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59952,4683296] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:3125:1] |
Generators of the group modulo torsion |
j |
1995203838976/361328125 |
j-invariant |
L |
7.2100838977863 |
L(r)(E,1)/r! |
Ω |
0.41606475863647 |
Real period |
R |
1.7329234850036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fp1 13320l1 11840b1 |
Quadratic twists by: -4 8 -3 |