Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190i |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
624 |
Modular degree for the optimal curve |
Δ |
-26910720 = -1 · 213 · 32 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,59,203] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] |
Generators of the group modulo torsion |
j |
22689222191/26910720 |
j-invariant |
L |
3.5705501235608 |
L(r)(E,1)/r! |
Ω |
1.4102104175824 |
Real period |
R |
0.097381815645364 |
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 |
17520t1 70080bc1 6570m1 10950h1 |
Quadratic twists by: -4 8 -3 5 |