Atkin-Lehner |
3+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
26499f |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-387971859 = -1 · 3 · 116 · 73 |
Discriminant |
Eigenvalues |
2 3+ -1 -2 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-766,-7965] |
[a1,a2,a3,a4,a6] |
Generators |
[2148:3477:64] |
Generators of the group modulo torsion |
j |
-28094464/219 |
j-invariant |
L |
7.747896854287 |
L(r)(E,1)/r! |
Ω |
0.45348507879566 |
Real period |
R |
4.2713074897985 |
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 |
79497p1 219a1 |
Quadratic twists by: -3 -11 |