Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464w |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-18411950592 = -1 · 29 · 311 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,-4898] |
[a1,a2,a3,a4,a6] |
Generators |
[21:122:1] |
Generators of the group modulo torsion |
j |
37259704/49329 |
j-invariant |
L |
7.6135925881348 |
L(r)(E,1)/r! |
Ω |
0.65336056391709 |
Real period |
R |
2.9132430883478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58464l1 116928br1 19488c1 |
Quadratic twists by: -4 8 -3 |