Atkin-Lehner |
2+ 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616k |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-15556801462272 = -1 · 221 · 35 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5857,-258433] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2112:1] |
Generators of the group modulo torsion |
j |
-84778086457/59344488 |
j-invariant |
L |
10.317012487684 |
L(r)(E,1)/r! |
Ω |
0.26467564338734 |
Real period |
R |
1.9489916709961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119616w1 3738a1 |
Quadratic twists by: -4 8 |