Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925be |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
773148350634358125 = 3 · 54 · 712 · 313 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-229483,915018] |
[a1,a2,a3,a4,a6] |
Generators |
[1272:42017:1] |
Generators of the group modulo torsion |
j |
18176443187200/10514644077 |
j-invariant |
L |
3.925218362928 |
L(r)(E,1)/r! |
Ω |
0.24023163256891 |
Real period |
R |
1.3616088872886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bs2 16275ba2 |
Quadratic twists by: 5 -7 |