Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928f |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-888624 = -1 · 24 · 33 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[129:260:27] |
Generators of the group modulo torsion |
j |
55296/2057 |
j-invariant |
L |
5.6568849653738 |
L(r)(E,1)/r! |
Ω |
1.3485919955967 |
Real period |
R |
4.1946600482905 |
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 |
13464l1 107712cx1 26928a1 |
Quadratic twists by: -4 8 -3 |