Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960r |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1349876774400 = -1 · 29 · 3 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1176,57624] |
[a1,a2,a3,a4,a6] |
Generators |
[14:210:1] |
Generators of the group modulo torsion |
j |
-351596839112/2636478075 |
j-invariant |
L |
6.6026297398333 |
L(r)(E,1)/r! |
Ω |
0.73531515210036 |
Real period |
R |
1.1224149470083 |
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 |
36960f2 73920fx3 110880dw2 |
Quadratic twists by: -4 8 -3 |