Atkin-Lehner |
2+ 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11914c |
Isogeny class |
Conductor |
11914 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-444161163712 = -1 · 26 · 7 · 232 · 374 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -4 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3573,86765] |
[a1,a2,a3,a4,a6] |
Generators |
[885:1685:27] |
Generators of the group modulo torsion |
j |
-5046760173468889/444161163712 |
j-invariant |
L |
5.9027965509549 |
L(r)(E,1)/r! |
Ω |
0.91919056391712 |
Real period |
R |
1.6054332971501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95312m1 107226bf1 83398c1 |
Quadratic twists by: -4 -3 -7 |