Atkin-Lehner |
2- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
29050m |
Isogeny class |
Conductor |
29050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-3905946800 = -1 · 24 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-123,3001] |
[a1,a2,a3,a4,a6] |
Generators |
[49:318:1] |
Generators of the group modulo torsion |
j |
-8236063705/156237872 |
j-invariant |
L |
5.8615812444459 |
L(r)(E,1)/r! |
Ω |
1.1736420280892 |
Real period |
R |
0.62429398233856 |
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 |
29050g1 |
Quadratic twists by: 5 |