Atkin-Lehner |
2+ 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
2442a |
Isogeny class |
Conductor |
2442 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-58608 = -1 · 24 · 32 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5,13] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
9938375/58608 |
j-invariant |
L |
2.1870770892139 |
L(r)(E,1)/r! |
Ω |
2.5439343126852 |
Real period |
R |
0.85972231213211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536bb1 78144u1 7326g1 61050cf1 |
Quadratic twists by: -4 8 -3 5 |