Atkin-Lehner |
2+ 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810bi |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
223776 |
Modular degree for the optimal curve |
Δ |
473447252927250 = 2 · 33 · 53 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81513,-8902862] |
[a1,a2,a3,a4,a6] |
j |
10389923853001/82127250 |
j-invariant |
L |
2.5441516482508 |
L(r)(E,1)/r! |
Ω |
0.28268351647284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101430dk1 33810h1 |
Quadratic twists by: -3 -7 |