Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49504k |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
12568100261208128 = 26 · 72 · 138 · 173 |
Discriminant |
Eigenvalues |
2- 2 4 7+ -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99286,-10732872] |
[a1,a2,a3,a4,a6] |
Generators |
[-23820:138684:125] |
Generators of the group modulo torsion |
j |
1691266923443889856/196376566581377 |
j-invariant |
L |
11.052302606171 |
L(r)(E,1)/r! |
Ω |
0.27099015581482 |
Real period |
R |
5.0981107473061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49504s1 99008bu1 |
Quadratic twists by: -4 8 |