Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440h |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-1.0764166222578E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1075572,254622448] |
[a1,a2,a3,a4,a6] |
j |
19441890357117957/15208161280000 |
j-invariant |
L |
2.4163209848162 |
L(r)(E,1)/r! |
Ω |
0.12081604924156 |
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 |
37440de1 1170a1 37440x1 |
Quadratic twists by: -4 8 -3 |