Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
1314b |
Isogeny class |
Conductor |
1314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-629344242 = -1 · 2 · 310 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27,1215] |
[a1,a2,a3,a4,a6] |
Generators |
[7:33:1] |
Generators of the group modulo torsion |
j |
-3048625/863298 |
j-invariant |
L |
1.9499906428602 |
L(r)(E,1)/r! |
Ω |
1.3208213770377 |
Real period |
R |
0.73817348687739 |
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 |
10512r2 42048t2 438b2 32850bl2 |
Quadratic twists by: -4 8 -3 5 |