Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900bi |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2067637893750000 = -1 · 24 · 34 · 58 · 11 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151458,-22843287] |
[a1,a2,a3,a4,a6] |
j |
-61478493280000/330822063 |
j-invariant |
L |
1.4515692780182 |
L(r)(E,1)/r! |
Ω |
0.12096410649299 |
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 |
128700by1 42900c1 |
Quadratic twists by: -3 5 |