Atkin-Lehner |
2+ 3+ 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550f |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-134008425000000 = -1 · 26 · 38 · 58 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48775,4163125] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:1025:1] [94:601:1] |
Generators of the group modulo torsion |
j |
-821314391438449/8576539200 |
j-invariant |
L |
7.7516642768231 |
L(r)(E,1)/r! |
Ω |
0.58646279171759 |
Real period |
R |
1.652207179389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510r1 |
Quadratic twists by: 5 |