Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cr |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-1875640208750000000 = -1 · 27 · 510 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11- 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35355,-65932853] |
[a1,a2,a3,a4,a6] |
j |
-1459161/560000 |
j-invariant |
L |
9.9253134440798 |
L(r)(E,1)/r! |
Ω |
0.1181584933812 |
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 |
8470m1 42350p1 |
Quadratic twists by: 5 -11 |