Atkin-Lehner |
3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075h |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
118300673390625 = 39 · 56 · 113 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11- 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14892,467891] |
[a1,a2,a3,a4,a6] |
j |
1187648379/384659 |
j-invariant |
L |
3.2678118664644 |
L(r)(E,1)/r! |
Ω |
0.54463531109561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075f1 1683d1 |
Quadratic twists by: -3 5 |