Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980bi |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
722060938085766480 = 24 · 312 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3968112,3042179129] |
[a1,a2,a3,a4,a6] |
Generators |
[2375:83752:1] |
Generators of the group modulo torsion |
j |
12592337649664/1315845 |
j-invariant |
L |
7.5202475682511 |
L(r)(E,1)/r! |
Ω |
0.2736538326668 |
Real period |
R |
4.5801463203412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660e1 3420c1 |
Quadratic twists by: -3 -19 |