Atkin-Lehner |
2- 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
89680f |
Isogeny class |
Conductor |
89680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1836646400 = 216 · 52 · 19 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-480,-3328] |
[a1,a2,a3,a4,a6] |
Generators |
[389:7650:1] |
Generators of the group modulo torsion |
j |
2992209121/448400 |
j-invariant |
L |
10.690279001974 |
L(r)(E,1)/r! |
Ω |
1.0300374322146 |
Real period |
R |
5.1892672349791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210e1 |
Quadratic twists by: -4 |