Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200dg |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-6543360000000000 = -1 · 220 · 32 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159408,24751188] |
[a1,a2,a3,a4,a6] |
j |
-6999657683689/102240000 |
j-invariant |
L |
3.3874875477254 |
L(r)(E,1)/r! |
Ω |
0.42343593133463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650t1 17040m1 |
Quadratic twists by: -4 5 |