Atkin-Lehner |
2- 3+ 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746bb |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-29153305703808 = -1 · 27 · 316 · 11 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 11- 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7050,127731] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6389:1] |
Generators of the group modulo torsion |
j |
38751383561335199/29153305703808 |
j-invariant |
L |
5.8148696118271 |
L(r)(E,1)/r! |
Ω |
0.42390953561138 |
Real period |
R |
0.97980298748693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238r1 |
Quadratic twists by: -3 |