Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900a |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4802652000000 = 28 · 39 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219375,-39548250] |
[a1,a2,a3,a4,a6] |
Generators |
[236046733776578270:-152488978489235969749:565609283000] |
Generators of the group modulo torsion |
j |
14829750000/61 |
j-invariant |
L |
6.8348225706679 |
L(r)(E,1)/r! |
Ω |
0.22059866425038 |
Real period |
R |
30.983064171457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54900b2 2196a2 |
Quadratic twists by: -3 5 |