Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fr |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
108391219200000 = 217 · 37 · 55 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 7 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112827,-14578454] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:90:1] |
Generators of the group modulo torsion |
j |
439632699649/300000 |
j-invariant |
L |
8.8392994209994 |
L(r)(E,1)/r! |
Ω |
0.26050381250293 |
Real period |
R |
0.84828887225189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890cc1 29040cw1 87120fx1 |
Quadratic twists by: -4 -3 -11 |