Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42570v |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-2388426617879280 = -1 · 24 · 38 · 5 · 113 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10958,-2389683] |
[a1,a2,a3,a4,a6] |
j |
-199596497460121/3276305374320 |
j-invariant |
L |
2.3665945395339 |
L(r)(E,1)/r! |
Ω |
0.19721621163611 |
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 |
14190d1 |
Quadratic twists by: -3 |