Atkin-Lehner |
3- 7- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99351g |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
118784 |
Modular degree for the optimal curve |
Δ |
157335323481 = 37 · 74 · 192 · 83 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17001,-848768] |
[a1,a2,a3,a4,a6] |
Generators |
[-594:367:8] |
Generators of the group modulo torsion |
j |
745476495651217/215823489 |
j-invariant |
L |
9.925893098036 |
L(r)(E,1)/r! |
Ω |
0.41810685284417 |
Real period |
R |
2.967510878713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33117b1 |
Quadratic twists by: -3 |