Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130by |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1882089877500 = 22 · 34 · 54 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-82811,-9206611] |
[a1,a2,a3,a4,a6] |
Generators |
[339:1180:1] |
Generators of the group modulo torsion |
j |
533826202534561/15997500 |
j-invariant |
L |
7.1395396035634 |
L(r)(E,1)/r! |
Ω |
0.28143512605991 |
Real period |
R |
3.171041445408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2370l3 |
Quadratic twists by: -7 |