Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440co |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-46270910781849600 = -1 · 217 · 39 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35613,10020834] |
[a1,a2,a3,a4,a6] |
Generators |
[135:4158:1] |
Generators of the group modulo torsion |
j |
61958108493/573927200 |
j-invariant |
L |
7.6978443385323 |
L(r)(E,1)/r! |
Ω |
0.26305636586952 |
Real period |
R |
1.8289436545783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930c2 55440ca2 |
Quadratic twists by: -4 -3 |