Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462z |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-101566146402 = -1 · 2 · 34 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-148,15287] |
[a1,a2,a3,a4,a6] |
Generators |
[70:933:8] |
Generators of the group modulo torsion |
j |
-3048625/863298 |
j-invariant |
L |
6.8696761201659 |
L(r)(E,1)/r! |
Ω |
0.86468056282728 |
Real period |
R |
3.9723780176716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64386p2 438b2 |
Quadratic twists by: -3 -7 |