Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080cn |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-330548428800000 = -1 · 217 · 39 · 55 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 2 -4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36012,2772016] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:2160:1] [102:-400:1] |
Generators of the group modulo torsion |
j |
-54054018002/3459375 |
j-invariant |
L |
12.356296201609 |
L(r)(E,1)/r! |
Ω |
0.53319339020699 |
Real period |
R |
0.28967670139303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080fu1 14760q1 39360y1 |
Quadratic twists by: -4 8 -3 |