Atkin-Lehner |
2+ 3+ 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118c |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-88456988928 = -1 · 28 · 3 · 76 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -7 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,985,8373] |
[a1,a2,a3,a4,a6] |
Generators |
[46:369:1] [123:1356:1] |
Generators of the group modulo torsion |
j |
105522070106375/88456988928 |
j-invariant |
L |
6.0396577466499 |
L(r)(E,1)/r! |
Ω |
0.69610620335318 |
Real period |
R |
0.72302877031742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354bw1 |
Quadratic twists by: -3 |