Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648f |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3.1681669662301E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13028844,-18103207840] |
[a1,a2,a3,a4,a6] |
Generators |
[4500530:849497004:125] |
Generators of the group modulo torsion |
j |
-81913199224986275392/10610127067761 |
j-invariant |
L |
7.8098898785412 |
L(r)(E,1)/r! |
Ω |
0.039731934700847 |
Real period |
R |
6.1426421981539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648q2 127296bp1 21216i2 |
Quadratic twists by: -4 8 -3 |