Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200l |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
576240000000 = 210 · 3 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8408,-297312] |
[a1,a2,a3,a4,a6] |
j |
4108974916/36015 |
j-invariant |
L |
1.9953162442216 |
L(r)(E,1)/r! |
Ω |
0.4988290610554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400i4 33600j3 12600bv4 840e3 |
Quadratic twists by: -4 8 -3 5 |