Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1014c |
Isogeny class |
Conductor |
1014 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20247552 = 210 · 32 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70997,7275296] |
[a1,a2,a3,a4,a6] |
Generators |
[147:70:1] |
Generators of the group modulo torsion |
j |
18013780041269221/9216 |
j-invariant |
L |
1.9424336989416 |
L(r)(E,1)/r! |
Ω |
1.3173935460676 |
Real period |
R |
0.7372260569895 |
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 |
8112y4 32448p4 3042n4 25350cc4 |
Quadratic twists by: -4 8 -3 5 |