Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850ca |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-5196972656250 = -1 · 2 · 36 · 511 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4270,21147] |
[a1,a2,a3,a4,a6] |
j |
756058031/456250 |
j-invariant |
L |
3.7576750341351 |
L(r)(E,1)/r! |
Ω |
0.46970937926701 |
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 |
3650d1 6570j1 |
Quadratic twists by: -3 5 |