Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350x |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-3.7690460853825E+24 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22711225,-83591796875] |
[a1,a2,a3,a4,a6] |
Generators |
[3665:-222945:1] |
Generators of the group modulo torsion |
j |
1762396940073671/5127312834560 |
j-invariant |
L |
4.0603413700791 |
L(r)(E,1)/r! |
Ω |
0.040328995685305 |
Real period |
R |
0.44946628663856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270n1 6650x1 |
Quadratic twists by: 5 -19 |