Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870w |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-131868800000000 = -1 · 213 · 58 · 72 · 292 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 3 -2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4308,540591] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3389:1] |
Generators of the group modulo torsion |
j |
10515969243639/156800000000 |
j-invariant |
L |
5.5888122030717 |
L(r)(E,1)/r! |
Ω |
0.43395327988161 |
Real period |
R |
0.06191747057161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870k1 |
Quadratic twists by: 29 |