Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120bt |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-1.0150191638707E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24253482,-45999225569] |
[a1,a2,a3,a4,a6] |
Generators |
[1571107177333709126:113417412627292732485:181918011109528] |
Generators of the group modulo torsion |
j |
-57367289145344/36905625 |
j-invariant |
L |
7.1255120738399 |
L(r)(E,1)/r! |
Ω |
0.034014123006098 |
Real period |
R |
26.185858417361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560v1 29040v1 87120bs1 |
Quadratic twists by: -4 -3 -11 |