Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350bm |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-29616144048000 = -1 · 27 · 316 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 4 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7713,22221] |
[a1,a2,a3,a4,a6] |
j |
556832393083/325005696 |
j-invariant |
L |
1.6010970048869 |
L(r)(E,1)/r! |
Ω |
0.40027425122172 |
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 |
6450bn1 19350cp1 |
Quadratic twists by: -3 5 |