Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11040p |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-507840 = -1 · 26 · 3 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[418:8556:1] |
Generators of the group modulo torsion |
j |
-1906624/7935 |
j-invariant |
L |
5.0052336300704 |
L(r)(E,1)/r! |
Ω |
1.2126656452699 |
Real period |
R |
4.1274638640862 |
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 |
11040d1 22080l1 33120i1 55200d1 |
Quadratic twists by: -4 8 -3 5 |