Atkin-Lehner |
2- 3- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236ba |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
289938498192 = 24 · 37 · 75 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -2 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4737,122785] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-63:1] [-72:301:1] |
Generators of the group modulo torsion |
j |
1007827849984/24857553 |
j-invariant |
L |
8.8549083615113 |
L(r)(E,1)/r! |
Ω |
0.97152575580572 |
Real period |
R |
0.15190725013242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41412l1 |
Quadratic twists by: -3 |