Atkin-Lehner |
3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58029h |
Isogeny class |
Conductor |
58029 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-108108027 = -1 · 35 · 232 · 292 |
Discriminant |
Eigenvalues |
-2 3- 0 1 2 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-338,-2560] |
[a1,a2,a3,a4,a6] |
Generators |
[28:103:1] |
Generators of the group modulo torsion |
j |
-5092864000/128547 |
j-invariant |
L |
4.3211142908832 |
L(r)(E,1)/r! |
Ω |
0.55575824404873 |
Real period |
R |
0.77751690357128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58029d1 |
Quadratic twists by: 29 |