Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350ds |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
15552000 |
Modular degree for the optimal curve |
Δ |
2.2544343040008E+23 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22364138,-33695416108] |
[a1,a2,a3,a4,a6] |
Generators |
[-2098:64224:1] |
Generators of the group modulo torsion |
j |
67312940590345/12267496528 |
j-invariant |
L |
13.413301324609 |
L(r)(E,1)/r! |
Ω |
0.07029568015753 |
Real period |
R |
0.88339165517598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350p1 6650n1 |
Quadratic twists by: 5 -19 |