Atkin-Lehner |
2- 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150eq |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
624 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-58426842240000000 = -1 · 213 · 37 · 57 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -5 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136130,22594497] |
[a1,a2,a3,a4,a6] |
Generators |
[-3458:7575:8] [65:3711:1] |
Generators of the group modulo torsion |
j |
-24492589315921/5129379840 |
j-invariant |
L |
15.294373149666 |
L(r)(E,1)/r! |
Ω |
0.33679145050097 |
Real period |
R |
0.072775640083836 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050l1 22230k1 |
Quadratic twists by: -3 5 |