Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850bd |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-9855000000 = -1 · 26 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,370,-4003] |
[a1,a2,a3,a4,a6] |
Generators |
[15:61:1] |
Generators of the group modulo torsion |
j |
13312053/23360 |
j-invariant |
L |
9.145977344099 |
L(r)(E,1)/r! |
Ω |
0.67734674590576 |
Real period |
R |
2.250441987894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32850a1 6570a1 |
Quadratic twists by: -3 5 |