Atkin-Lehner |
2+ 3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070f |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
252036900 = 22 · 33 · 52 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5844,-170500] |
[a1,a2,a3,a4,a6] |
j |
817583975994843/9334700 |
j-invariant |
L |
3.2761974452065 |
L(r)(E,1)/r! |
Ω |
0.5460329075345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29070w1 |
Quadratic twists by: -3 |