Atkin-Lehner |
2+ 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290c |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-10551937500 = -1 · 22 · 33 · 56 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -6 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,141,4865] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:49:1] [61:457:1] |
Generators of the group modulo torsion |
j |
11436248277/390812500 |
j-invariant |
L |
7.203363607912 |
L(r)(E,1)/r! |
Ω |
0.96859382449168 |
Real period |
R |
0.6197440923954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43290be1 |
Quadratic twists by: -3 |