Atkin-Lehner |
2- 3+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119196b |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-900496696176 = -1 · 24 · 33 · 7 · 115 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- 3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1311,41841] |
[a1,a2,a3,a4,a6] |
Generators |
[49:473:1] |
Generators of the group modulo torsion |
j |
576830267136/2084483093 |
j-invariant |
L |
6.0950970313609 |
L(r)(E,1)/r! |
Ω |
0.62919220992758 |
Real period |
R |
0.16145297056528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999186236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119196a1 |
Quadratic twists by: -3 |