Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360v |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
109590969600 = 28 · 33 · 52 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5703,165002] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-210:1] [-79:350:1] |
Generators of the group modulo torsion |
j |
2967769022832/15855175 |
j-invariant |
L |
11.373777189949 |
L(r)(E,1)/r! |
Ω |
1.0614590735548 |
Real period |
R |
0.44646788064248 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360i2 |
Quadratic twists by: -3 |