Atkin-Lehner |
2+ 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050n |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-752383987200000000 = -1 · 215 · 38 · 58 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 1 -3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1408950,644476500] |
[a1,a2,a3,a4,a6] |
Generators |
[1035:16695:1] |
Generators of the group modulo torsion |
j |
-791864554064688265/1926103007232 |
j-invariant |
L |
3.110602156126 |
L(r)(E,1)/r! |
Ω |
0.28508807521087 |
Real period |
R |
0.9092518028652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050bx1 |
Quadratic twists by: 5 |