Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150do |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1447680 |
Modular degree for the optimal curve |
Δ |
-1867790498139843750 = -1 · 2 · 319 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-892242,331213666] |
[a1,a2,a3,a4,a6] |
Generators |
[-805:23366:1] |
Generators of the group modulo torsion |
j |
-275857255412545/6559044822 |
j-invariant |
L |
5.5095369319984 |
L(r)(E,1)/r! |
Ω |
0.26327991180101 |
Real period |
R |
2.6158171818978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050co1 84150fn1 |
Quadratic twists by: -3 5 |