Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715d |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167616 |
Modular degree for the optimal curve |
Δ |
-164058075 = -1 · 33 · 52 · 172 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ -3 2 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24188,-1458057] |
[a1,a2,a3,a4,a6] |
Generators |
[1982:21399:8] |
Generators of the group modulo torsion |
j |
-5415690082179241/567675 |
j-invariant |
L |
4.9035729747478 |
L(r)(E,1)/r! |
Ω |
0.19141114820465 |
Real period |
R |
6.404502915171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998940695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715bg1 |
Quadratic twists by: 17 |