Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
20394u |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
19822968 = 23 · 37 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 11+ -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,371] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
169112377/27192 |
j-invariant |
L |
7.6131315816669 |
L(r)(E,1)/r! |
Ω |
2.0703524702084 |
Real period |
R |
0.30643460035658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798h1 |
Quadratic twists by: -3 |