Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32300s |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-646000 = -1 · 24 · 53 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- -1 0 -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,-43] |
[a1,a2,a3,a4,a6] |
j |
-340736/323 |
j-invariant |
L |
2.2210192219424 |
L(r)(E,1)/r! |
Ω |
1.1105096109709 |
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 |
129200dg1 32300o1 |
Quadratic twists by: -4 5 |