Atkin-Lehner |
3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bj |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-19193570948383425 = -1 · 36 · 52 · 118 · 173 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 11- 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-252582,-49249279] |
[a1,a2,a3,a4,a6] |
j |
-97783220255527305/1053145182353 |
j-invariant |
L |
2.5538851817291 |
L(r)(E,1)/r! |
Ω |
0.10641188257162 |
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 |
4675d1 42075cf1 |
Quadratic twists by: -3 5 |