Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bd |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-227673600 = -1 · 29 · 3 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-780] |
[a1,a2,a3,a4,a6] |
Generators |
[20:70:1] |
Generators of the group modulo torsion |
j |
-193100552/444675 |
j-invariant |
L |
4.5928504214072 |
L(r)(E,1)/r! |
Ω |
0.71205903427076 |
Real period |
R |
1.6125244538578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960bp2 73920hk2 110880bs2 |
Quadratic twists by: -4 8 -3 |