Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1394a |
Isogeny class |
Conductor |
1394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
2923429888 = 222 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 0 0 0 0 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-697,6765] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1:1] |
Generators of the group modulo torsion |
j |
37477661819625/2923429888 |
j-invariant |
L |
2.0309687002802 |
L(r)(E,1)/r! |
Ω |
1.3964967845884 |
Real period |
R |
2.9086621934168 |
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 |
11152k1 44608b1 12546m1 34850t1 |
Quadratic twists by: -4 8 -3 5 |