Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870c |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-402431640625000 = -1 · 23 · 513 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 5 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76790,8266300] |
[a1,a2,a3,a4,a6] |
j |
-59544945263727729/478515625000 |
j-invariant |
L |
1.071002712448 |
L(r)(E,1)/r! |
Ω |
0.53550135523627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870p1 |
Quadratic twists by: 29 |