Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960v |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
506203790400 = 26 · 32 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19766,-1075680] |
[a1,a2,a3,a4,a6] |
j |
13345107693305536/7909434225 |
j-invariant |
L |
3.2212428138227 |
L(r)(E,1)/r! |
Ω |
0.40265535173339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960c1 73920fu2 110880ds1 |
Quadratic twists by: -4 8 -3 |