Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bk |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
155592047812608 = 213 · 314 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6099699,-5798433998] |
[a1,a2,a3,a4,a6] |
Generators |
[-17349567:60710:12167] |
Generators of the group modulo torsion |
j |
8405459297332260337/52107462 |
j-invariant |
L |
6.8197089679832 |
L(r)(E,1)/r! |
Ω |
0.09606660737272 |
Real period |
R |
8.8736725935424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3762d5 120384co6 10032o5 |
Quadratic twists by: -4 8 -3 |