Atkin-Lehner |
2- 3+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280bj |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
57064297500000000 = 28 · 38 · 510 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2477140,1501413100] |
[a1,a2,a3,a4,a6] |
Generators |
[925:810:1] |
Generators of the group modulo torsion |
j |
6566524648007219703376/222907412109375 |
j-invariant |
L |
5.2703344255825 |
L(r)(E,1)/r! |
Ω |
0.32939932227524 |
Real period |
R |
1.5999833765322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29820c2 |
Quadratic twists by: -4 |