Atkin-Lehner |
2+ 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760c |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1904670720 = 211 · 33 · 5 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-7182] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:14:1] [-14:14:1] |
Generators of the group modulo torsion |
j |
755866134/34445 |
j-invariant |
L |
9.0844850115032 |
L(r)(E,1)/r! |
Ω |
0.92329025990616 |
Real period |
R |
4.9196257157737 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29880a2 59760e2 |
Quadratic twists by: -4 -3 |