Atkin-Lehner |
7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19943d |
Isogeny class |
Conductor |
19943 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3122890703317 = 78 · 114 · 37 |
Discriminant |
Eigenvalues |
-1 0 0 7- 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8805,-304216] |
[a1,a2,a3,a4,a6] |
Generators |
[128:744:1] |
Generators of the group modulo torsion |
j |
641619140625/26544133 |
j-invariant |
L |
2.8795057565721 |
L(r)(E,1)/r! |
Ω |
0.49411550817734 |
Real period |
R |
1.4568990999664 |
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 |
2849b2 |
Quadratic twists by: -7 |