Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405g |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
6947827048828125 = 36 · 59 · 474 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -3 6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318510,69151675] |
[a1,a2,a3,a4,a6] |
Generators |
[2446:3007:8] |
Generators of the group modulo torsion |
j |
1004557349281/1953125 |
j-invariant |
L |
7.0946346639088 |
L(r)(E,1)/r! |
Ω |
0.42061833821831 |
Real period |
R |
2.8111924810144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11045d1 99405o1 |
Quadratic twists by: -3 -47 |