Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280ci |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-9616540631040 = -1 · 216 · 310 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 3 0 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3640,-121740] |
[a1,a2,a3,a4,a6] |
Generators |
[28:54:1] |
Generators of the group modulo torsion |
j |
1301812981559/2347788240 |
j-invariant |
L |
10.302145791309 |
L(r)(E,1)/r! |
Ω |
0.38114064671709 |
Real period |
R |
1.3514887260358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910j1 |
Quadratic twists by: -4 |