Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cd |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-65333515037446656 = -1 · 29 · 35 · 710 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108095,-18439387] |
[a1,a2,a3,a4,a6] |
j |
-494493264769/231289344 |
j-invariant |
L |
2.3176435034863 |
L(r)(E,1)/r! |
Ω |
0.12875797242577 |
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 |
126126cz1 42042cr1 |
Quadratic twists by: -3 -7 |