Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ei |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1851310080 = -1 · 214 · 36 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3648,84832] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1327:1] |
Generators of the group modulo torsion |
j |
-449511424/155 |
j-invariant |
L |
6.942174415237 |
L(r)(E,1)/r! |
Ω |
1.4548379230883 |
Real period |
R |
4.7717854329448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280bu1 22320bx1 9920z1 |
Quadratic twists by: -4 8 -3 |