Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24206g |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50160 |
Modular degree for the optimal curve |
Δ |
-1104253514 = -1 · 2 · 76 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ -3 3 7- 0 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2998,63958] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-25:1] |
Generators of the group modulo torsion |
j |
-25334470953/9386 |
j-invariant |
L |
2.7067019704545 |
L(r)(E,1)/r! |
Ω |
1.5205938739621 |
Real period |
R |
0.8900147556829 |
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 |
494c1 |
Quadratic twists by: -7 |