Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930bb |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9803842878060 = -1 · 22 · 314 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4882,-75063] |
[a1,a2,a3,a4,a6] |
Generators |
[45:461:1] |
Generators of the group modulo torsion |
j |
17655210697319/13448344140 |
j-invariant |
L |
5.8953837270926 |
L(r)(E,1)/r! |
Ω |
0.40539247216851 |
Real period |
R |
1.8178013073224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440cr3 2310d4 34650o3 48510ee3 |
Quadratic twists by: -4 -3 5 -7 |