Atkin-Lehner |
3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2775a |
Isogeny class |
Conductor |
2775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-1036932732421875 = -1 · 315 · 59 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 0 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-60133,-5863332] |
[a1,a2,a3,a4,a6] |
Generators |
[452:7687:1] |
Generators of the group modulo torsion |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
2.1718609487774 |
L(r)(E,1)/r! |
Ω |
0.1520535610697 |
Real period |
R |
3.5708814274034 |
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 |
44400cj1 8325r1 555b1 102675c1 |
Quadratic twists by: -4 -3 5 37 |