Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bp |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.5123621606933E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,476705,-137534650] |
[a1,a2,a3,a4,a6] |
Generators |
[605:19305:1] |
Generators of the group modulo torsion |
j |
6364491337435136/8034291412875 |
j-invariant |
L |
9.0847750325609 |
L(r)(E,1)/r! |
Ω |
0.11846526714045 |
Real period |
R |
1.5976509487889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003499 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920c1 |
Quadratic twists by: -7 |