Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960n |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
85377600 = 26 · 32 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:20:1] |
Generators of the group modulo torsion |
j |
2320940224/1334025 |
j-invariant |
L |
5.52905213501 |
L(r)(E,1)/r! |
Ω |
1.6012059903288 |
Real period |
R |
1.7265274325742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36960x1 73920gz2 110880dg1 |
Quadratic twists by: -4 8 -3 |