Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080ca |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2612736000 = -1 · 212 · 36 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2712,54416] |
[a1,a2,a3,a4,a6] |
Generators |
[32:20:1] |
Generators of the group modulo torsion |
j |
-738763264/875 |
j-invariant |
L |
4.8876654371295 |
L(r)(E,1)/r! |
Ω |
1.4368393806847 |
Real period |
R |
0.56694639438408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10080bt1 20160eb1 1120d1 50400t1 |
Quadratic twists by: -4 8 -3 5 |