Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464b |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-120318912 = -1 · 26 · 33 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69,-572] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2040:1] |
Generators of the group modulo torsion |
j |
-21024576/69629 |
j-invariant |
L |
6.435724775879 |
L(r)(E,1)/r! |
Ω |
0.7623014676734 |
Real period |
R |
4.221246481039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464s1 116928j1 58464r1 |
Quadratic twists by: -4 8 -3 |