Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26040l |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-47266662240000 = -1 · 28 · 34 · 54 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10596,538020] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:882:1] |
Generators of the group modulo torsion |
j |
-513985161953104/184635399375 |
j-invariant |
L |
4.7863105109221 |
L(r)(E,1)/r! |
Ω |
0.59976305071755 |
Real period |
R |
0.3325139892882 |
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 |
52080k1 78120t1 |
Quadratic twists by: -4 -3 |