Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350p |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-15660187500 = -1 · 22 · 3 · 56 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150,6000] |
[a1,a2,a3,a4,a6] |
Generators |
[35:195:1] [-16:76:1] |
Generators of the group modulo torsion |
j |
-289/12 |
j-invariant |
L |
5.5725396533994 |
L(r)(E,1)/r! |
Ω |
1.0319928504277 |
Real period |
R |
0.44998209460218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734m1 43350bg1 |
Quadratic twists by: 5 17 |