Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7050f |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
24785156250 = 2 · 33 · 510 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 4 1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4701,-124202] |
[a1,a2,a3,a4,a6] |
j |
1176147025/2538 |
j-invariant |
L |
1.7299781605096 |
L(r)(E,1)/r! |
Ω |
0.57665938683652 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400bt1 21150cf1 7050bb1 |
Quadratic twists by: -4 -3 5 |