Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960j |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-751169414880000 = -1 · 28 · 310 · 54 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 3 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6492,-1333924] |
[a1,a2,a3,a4,a6] |
Generators |
[337:5895:1] |
Generators of the group modulo torsion |
j |
-162140591104/4025041875 |
j-invariant |
L |
6.5159559212417 |
L(r)(E,1)/r! |
Ω |
0.21907133655778 |
Real period |
R |
3.7179418492313 |
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 |
15480p1 123840fg1 10320b1 |
Quadratic twists by: -4 8 -3 |