Atkin-Lehner |
11- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98527n |
Isogeny class |
Conductor |
98527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-149143571291 = -1 · 11 · 136 · 532 |
Discriminant |
Eigenvalues |
-2 1 -3 0 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,958,-14348] |
[a1,a2,a3,a4,a6] |
Generators |
[17:84:1] |
Generators of the group modulo torsion |
j |
20123648/30899 |
j-invariant |
L |
2.5309835730124 |
L(r)(E,1)/r! |
Ω |
0.54402739280365 |
Real period |
R |
1.1630772654155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
583a1 |
Quadratic twists by: 13 |