Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650cj |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-225216000 = -1 · 29 · 32 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,102,612] |
[a1,a2,a3,a4,a6] |
Generators |
[12:54:1] |
Generators of the group modulo torsion |
j |
938313739/1801728 |
j-invariant |
L |
13.087368489574 |
L(r)(E,1)/r! |
Ω |
1.21870046115 |
Real period |
R |
0.29829972596431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650o1 |
Quadratic twists by: 5 |