Atkin-Lehner |
2+ 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5530f |
Isogeny class |
Conductor |
5530 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-176960000 = -1 · 29 · 54 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -3 1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4868,130306] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-18:1] |
Generators of the group modulo torsion |
j |
-12754022216193721/176960000 |
j-invariant |
L |
3.5912076874484 |
L(r)(E,1)/r! |
Ω |
1.645916250062 |
Real period |
R |
0.54547242110787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44240u1 49770bo1 27650n1 38710f1 |
Quadratic twists by: -4 -3 5 -7 |