Atkin-Lehner |
3+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104181b |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
376777774989 = 37 · 7 · 114 · 412 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 11- 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-51465,-4476616] |
[a1,a2,a3,a4,a6] |
Generators |
[-1046:73:8] |
Generators of the group modulo torsion |
j |
1029668297506816/25734429 |
j-invariant |
L |
5.2711223324407 |
L(r)(E,1)/r! |
Ω |
0.31697244398784 |
Real period |
R |
2.7715986081866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181h1 |
Quadratic twists by: -11 |