Atkin-Lehner |
2- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110200g |
Isogeny class |
Conductor |
110200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-140870864000000 = -1 · 210 · 56 · 192 · 293 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 5 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17808,-1072388] |
[a1,a2,a3,a4,a6] |
j |
-39036741412/8804429 |
j-invariant |
L |
2.4502640415713 |
L(r)(E,1)/r! |
Ω |
0.2041886325193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4408b1 |
Quadratic twists by: 5 |