Atkin-Lehner |
2+ 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960d |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
1.8011974370838E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -5 -1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1783512,-650792016] |
[a1,a2,a3,a4,a6] |
Generators |
[1668:31860:1] |
Generators of the group modulo torsion |
j |
7782167585797632/2234138434375 |
j-invariant |
L |
7.21887613656 |
L(r)(E,1)/r! |
Ω |
0.13350034130214 |
Real period |
R |
0.54073840348471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960a1 84960w1 |
Quadratic twists by: -4 -3 |