Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300bb |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-64742268384000 = -1 · 28 · 316 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8040,-476300] |
[a1,a2,a3,a4,a6] |
j |
-2463850496/2775303 |
j-invariant |
L |
0.96594512694554 |
L(r)(E,1)/r! |
Ω |
0.24148628172248 |
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 |
14100l1 42300bg1 |
Quadratic twists by: -3 5 |