Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042x |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-101350709224756992 = -1 · 28 · 34 · 710 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97584,-19335168] |
[a1,a2,a3,a4,a6] |
j |
-873530903492857/861466814208 |
j-invariant |
L |
1.5584652317297 |
L(r)(E,1)/r! |
Ω |
0.12987210265108 |
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 |
126126fh1 6006l1 |
Quadratic twists by: -3 -7 |