Atkin-Lehner |
2+ 3+ 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290g |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-68059625808219840 = -1 · 26 · 38 · 5 · 177 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-204682,37702804] |
[a1,a2,a3,a4,a6] |
Generators |
[-356:8278:1] |
Generators of the group modulo torsion |
j |
-948344179850502823081/68059625808219840 |
j-invariant |
L |
4.5033103121143 |
L(r)(E,1)/r! |
Ω |
0.34128910099563 |
Real period |
R |
3.2987504574366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870z1 |
Quadratic twists by: -3 |