Atkin-Lehner |
2- 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81700j |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-39493989152000 = -1 · 28 · 53 · 192 · 434 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6545,223350] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:210:1] [15:570:1] |
Generators of the group modulo torsion |
j |
968952943728/1234187161 |
j-invariant |
L |
9.1933537204033 |
L(r)(E,1)/r! |
Ω |
0.43419785030605 |
Real period |
R |
3.5288650529907 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81700l2 |
Quadratic twists by: 5 |