Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960bv |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
17962560 = 26 · 36 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-110,360] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:24:1] |
Generators of the group modulo torsion |
j |
2320940224/280665 |
j-invariant |
L |
7.6076738060627 |
L(r)(E,1)/r! |
Ω |
2.1084045076376 |
Real period |
R |
1.2027536744023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bi1 73920ey1 110880bm1 |
Quadratic twists by: -4 8 -3 |