Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
42300w |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-202859107603200 = -1 · 28 · 315 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2280,-686540] |
[a1,a2,a3,a4,a6] |
j |
-280944640/43479747 |
j-invariant |
L |
1.0034897792338 |
L(r)(E,1)/r! |
Ω |
0.25087244484786 |
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 |
14100h1 42300ba1 |
Quadratic twists by: -3 5 |