Atkin-Lehner |
2- 3+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bt |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
1126400 |
Modular degree for the optimal curve |
Δ |
-29237776992000000 = -1 · 211 · 32 · 56 · 195 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -1 6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4788,8225781] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-2863:1] |
Generators of the group modulo torsion |
j |
-776911912057/1871217727488 |
j-invariant |
L |
7.9951451818512 |
L(r)(E,1)/r! |
Ω |
0.29962985847232 |
Real period |
R |
0.12128820908387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4674b1 |
Quadratic twists by: 5 |