Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8360q |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-359218750000 = -1 · 24 · 510 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11- -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-275,28798] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:55:1] [-9:175:1] |
Generators of the group modulo torsion |
j |
-144271353856/22451171875 |
j-invariant |
L |
4.1791202767379 |
L(r)(E,1)/r! |
Ω |
0.78238926559546 |
Real period |
R |
0.53414846809746 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16720o1 66880h1 75240i1 41800c1 |
Quadratic twists by: -4 8 -3 5 |