Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66248f |
Isogeny class |
Conductor |
66248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
639532885264 = 24 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -5 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2760,39521] |
[a1,a2,a3,a4,a6] |
Generators |
[4:169:1] [-358:2197:8] |
Generators of the group modulo torsion |
j |
614656/169 |
j-invariant |
L |
12.048660726461 |
L(r)(E,1)/r! |
Ω |
0.85005776331537 |
Real period |
R |
1.7717414695886 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66248a1 5096i1 |
Quadratic twists by: -7 13 |