Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270n |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-16805187511664640 = -1 · 214 · 3 · 5 · 119 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-877252,315949264] |
[a1,a2,a3,a4,a6] |
Generators |
[-280:23372:1] |
Generators of the group modulo torsion |
j |
-42144555313044001/9486090240 |
j-invariant |
L |
3.1697358795503 |
L(r)(E,1)/r! |
Ω |
0.38003318966832 |
Real period |
R |
2.0851704302938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570t1 |
Quadratic twists by: -11 |