Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130bz |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-391733447024640 = -1 · 213 · 3 · 5 · 79 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61251,5886369] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-742:1] |
Generators of the group modulo torsion |
j |
-216010800180001/3329679360 |
j-invariant |
L |
8.3705581949219 |
L(r)(E,1)/r! |
Ω |
0.53522499206511 |
Real period |
R |
0.30075627403786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999126446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590w1 |
Quadratic twists by: -7 |