Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120de |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
94206689280000 = 222 · 33 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12507,-267894] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:330:1] |
Generators of the group modulo torsion |
j |
1469878353/640000 |
j-invariant |
L |
7.8116847224177 |
L(r)(E,1)/r! |
Ω |
0.46976707528416 |
Real period |
R |
1.0393029236506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bg1 87120cr1 87120df1 |
Quadratic twists by: -4 -3 -11 |