Atkin-Lehner |
3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104181h |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
667484811837287829 = 37 · 7 · 1110 · 412 |
Discriminant |
Eigenvalues |
0 3+ 1 7- 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6227305,5983284735] |
[a1,a2,a3,a4,a6] |
Generators |
[498435:243102:343] |
Generators of the group modulo torsion |
j |
1029668297506816/25734429 |
j-invariant |
L |
4.0123583428348 |
L(r)(E,1)/r! |
Ω |
0.26625565067666 |
Real period |
R |
7.5347853462412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181b1 |
Quadratic twists by: -11 |