Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870t |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
487200 |
Modular degree for the optimal curve |
Δ |
-29449506331014070 = -1 · 2 · 5 · 7 · 2910 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -2 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14735,8279035] |
[a1,a2,a3,a4,a6] |
Generators |
[-42270794841648200316341613220:373476281717469679748089629003:207548491851248861972884672] |
Generators of the group modulo torsion |
j |
-841/70 |
j-invariant |
L |
14.205305554306 |
L(r)(E,1)/r! |
Ω |
0.30679591549888 |
Real period |
R |
46.302133883388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870i1 |
Quadratic twists by: 29 |