Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080s |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
227328 |
Modular degree for the optimal curve |
Δ |
62562500000000 = 28 · 512 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21167,1122574] |
[a1,a2,a3,a4,a6] |
Generators |
[58:300:1] |
Generators of the group modulo torsion |
j |
4096959551048016/244384765625 |
j-invariant |
L |
6.8967292049368 |
L(r)(E,1)/r! |
Ω |
0.612117339954 |
Real period |
R |
1.8778341878462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40040p1 |
Quadratic twists by: -4 |