Atkin-Lehner |
3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2775j |
Isogeny class |
Conductor |
2775 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-10525791796875 = -1 · 39 · 58 · 372 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 0 -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19708,1069744] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1387:1] |
Generators of the group modulo torsion |
j |
-2167271772160/26946027 |
j-invariant |
L |
2.0812957168274 |
L(r)(E,1)/r! |
Ω |
0.72440303600058 |
Real period |
R |
0.053205896937392 |
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 |
44400br1 8325bc1 2775d1 102675w1 |
Quadratic twists by: -4 -3 5 37 |