Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120dw |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-4.5061082100243E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3398043,-2618367158] |
[a1,a2,a3,a4,a6] |
Generators |
[257720199:11363034496:79507] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
4.1352408210655 |
L(r)(E,1)/r! |
Ω |
0.055273692115692 |
Real period |
R |
9.3517382821519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890bm1 9680v1 87120dv1 |
Quadratic twists by: -4 -3 -11 |