Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bc |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2794176000000 = 212 · 34 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3585,17775] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:300:1] |
Generators of the group modulo torsion |
j |
1244378161216/682171875 |
j-invariant |
L |
7.7050373597827 |
L(r)(E,1)/r! |
Ω |
0.70117488953395 |
Real period |
R |
0.22893234492299 |
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 |
36960l2 73920ev1 110880df2 |
Quadratic twists by: -4 8 -3 |