Atkin-Lehner |
3- 5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
61335j |
Isogeny class |
Conductor |
61335 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-429473157581115 = -1 · 313 · 5 · 293 · 472 |
Discriminant |
Eigenvalues |
0 3- 5- -4 1 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18372,1383052] |
[a1,a2,a3,a4,a6] |
Generators |
[250:3523:1] |
Generators of the group modulo torsion |
j |
-940731083259904/589126416435 |
j-invariant |
L |
4.7547620620954 |
L(r)(E,1)/r! |
Ω |
0.49008004128107 |
Real period |
R |
0.40425046774947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20445a1 |
Quadratic twists by: -3 |