Atkin-Lehner |
2+ 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640d |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-14543901146880 = -1 · 28 · 33 · 5 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,84,183456] |
[a1,a2,a3,a4,a6] |
Generators |
[44:520:1] [113:1274:1] |
Generators of the group modulo torsion |
j |
253012016/56812113855 |
j-invariant |
L |
9.4716531194024 |
L(r)(E,1)/r! |
Ω |
0.55655007319369 |
Real period |
R |
17.018510239291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61320n1 |
Quadratic twists by: -4 |