Atkin-Lehner |
2- 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26316d |
Isogeny class |
Conductor |
26316 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
339840 |
Modular degree for the optimal curve |
Δ |
-214077674509168896 = -1 · 28 · 39 · 172 · 435 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -3 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242919,51178014] |
[a1,a2,a3,a4,a6] |
Generators |
[303:2322:1] [-453:8262:1] |
Generators of the group modulo torsion |
j |
-314613176964336/42485440027 |
j-invariant |
L |
6.3340619465366 |
L(r)(E,1)/r! |
Ω |
0.3058279973187 |
Real period |
R |
0.3451865101773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264ba1 26316b1 |
Quadratic twists by: -4 -3 |