Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190c |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-34058880 = -1 · 27 · 36 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-537,4581] |
[a1,a2,a3,a4,a6] |
Generators |
[15:6:1] |
Generators of the group modulo torsion |
j |
-17175508997401/34058880 |
j-invariant |
L |
2.2183632109165 |
L(r)(E,1)/r! |
Ω |
2.0721091068102 |
Real period |
R |
0.53529112043994 |
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 |
17520z1 70080w1 6570w1 10950bb1 |
Quadratic twists by: -4 8 -3 5 |