Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26040b |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4736 |
Modular degree for the optimal curve |
Δ |
-6666240 = -1 · 211 · 3 · 5 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,172] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] |
Generators of the group modulo torsion |
j |
-3543122/3255 |
j-invariant |
L |
4.9471860918945 |
L(r)(E,1)/r! |
Ω |
2.165109311526 |
Real period |
R |
2.2849590390462 |
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 |
52080s1 78120y1 |
Quadratic twists by: -4 -3 |