Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198u |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
522956393344 = 27 · 77 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ -3 1 7- 11- 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24754,1504852] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-323:1] |
Generators of the group modulo torsion |
j |
14258751510249/4445056 |
j-invariant |
L |
2.4977472577571 |
L(r)(E,1)/r! |
Ω |
0.90751183969313 |
Real period |
R |
0.34403783351674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6314c1 |
Quadratic twists by: -7 |