Atkin-Lehner |
3+ 7- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99351b |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
2053287117 = 33 · 7 · 19 · 833 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 0 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1440,20919] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:193:1] [41:175:1] |
Generators of the group modulo torsion |
j |
12230590464000/76047671 |
j-invariant |
L |
9.6756084195216 |
L(r)(E,1)/r! |
Ω |
1.4786774392927 |
Real period |
R |
9.8151309031572 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993656 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99351a2 |
Quadratic twists by: -3 |