Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1155k |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
49 |
Product of Tamagawa factors cp |
deg |
784 |
Modular degree for the optimal curve |
Δ |
-13156171875 = -1 · 37 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,545,2734] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-188:1] |
Generators of the group modulo torsion |
j |
17869652393984/13156171875 |
j-invariant |
L |
2.6015451327901 |
L(r)(E,1)/r! |
Ω |
0.80319546423575 |
Real period |
R |
0.066101914385886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18480ck1 73920h1 3465g1 5775h1 |
Quadratic twists by: -4 8 -3 5 |