Atkin-Lehner |
2- 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840v |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-31306918021280000 = -1 · 28 · 54 · 113 · 435 |
Discriminant |
Eigenvalues |
2- 3 5- 0 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-306487,65860466] |
[a1,a2,a3,a4,a6] |
Generators |
[18174:346330:27] |
Generators of the group modulo torsion |
j |
-12437122766101906896/122292648520625 |
j-invariant |
L |
11.052512073339 |
L(r)(E,1)/r! |
Ω |
0.37235465970387 |
Real period |
R |
7.4206887071922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9460g1 |
Quadratic twists by: -4 |