Atkin-Lehner |
2+ 3- 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550w |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2193408 |
Modular degree for the optimal curve |
Δ |
-264708000000000000 = -1 · 214 · 34 · 512 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -2 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,78374,23275148] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4801:1] |
Generators of the group modulo torsion |
j |
3407435858352239/16941312000000 |
j-invariant |
L |
7.466036358732 |
L(r)(E,1)/r! |
Ω |
0.22303994516476 |
Real period |
R |
2.0921242350459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999519584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510k1 |
Quadratic twists by: 5 |