Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bk |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2272625686020096 = 216 · 38 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32979,-230510] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:1440:1] |
Generators of the group modulo torsion |
j |
1328460616657/761097744 |
j-invariant |
L |
6.8197089679832 |
L(r)(E,1)/r! |
Ω |
0.38426642949088 |
Real period |
R |
2.2184181483856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3762d2 120384co2 10032o2 |
Quadratic twists by: -4 8 -3 |