Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58464r |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-87712486848 = -1 · 26 · 39 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-621,15444] |
[a1,a2,a3,a4,a6] |
Generators |
[16:98:1] |
Generators of the group modulo torsion |
j |
-21024576/69629 |
j-invariant |
L |
3.1609564210906 |
L(r)(E,1)/r! |
Ω |
0.9434308177352 |
Real period |
R |
1.6752454772329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464f1 116928e1 58464b1 |
Quadratic twists by: -4 8 -3 |