Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fl |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
5655910614854860800 = 216 · 311 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24280707,46050968194] |
[a1,a2,a3,a4,a6] |
Generators |
[2145:61952:1] |
Generators of the group modulo torsion |
j |
299270638153369/1069200 |
j-invariant |
L |
7.5260699757544 |
L(r)(E,1)/r! |
Ω |
0.21053428811057 |
Real period |
R |
2.2342174170018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890v1 29040cu1 7920bj1 |
Quadratic twists by: -4 -3 -11 |