Atkin-Lehner |
2- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
37840y |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-520678400000 = -1 · 213 · 55 · 11 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- -5 11+ 4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5280,153472] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:520:1] [-6:430:1] |
Generators of the group modulo torsion |
j |
-3975097468321/127118750 |
j-invariant |
L |
6.9881348599872 |
L(r)(E,1)/r! |
Ω |
0.92294035895027 |
Real period |
R |
0.18928999019872 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4730h1 |
Quadratic twists by: -4 |