Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600bv |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
411156000000 = 28 · 37 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -3 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2100,20500] |
[a1,a2,a3,a4,a6] |
j |
351232/141 |
j-invariant |
L |
3.4345456502254 |
L(r)(E,1)/r! |
Ω |
0.85863640614617 |
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 |
28200l1 3384c1 |
Quadratic twists by: -3 5 |