Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070w |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
183734900100 = 22 · 39 · 52 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52598,4656097] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2093:1] |
Generators of the group modulo torsion |
j |
817583975994843/9334700 |
j-invariant |
L |
8.8114651136121 |
L(r)(E,1)/r! |
Ω |
0.91758713045469 |
Real period |
R |
4.8014323769154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29070f1 |
Quadratic twists by: -3 |