Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450bd |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
3.3441241238683E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4299867,3318245541] |
[a1,a2,a3,a4,a6] |
Generators |
[598:30693:1] |
Generators of the group modulo torsion |
j |
771864882375147625/29358565696512 |
j-invariant |
L |
4.9734340411145 |
L(r)(E,1)/r! |
Ω |
0.16972703123661 |
Real period |
R |
3.6628181735052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150cf1 3978i1 |
Quadratic twists by: -3 5 |