Atkin-Lehner |
2+ 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125426c |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-2909407058947634 = -1 · 2 · 7 · 178 · 313 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-152454,-23070750] |
[a1,a2,a3,a4,a6] |
j |
-16234636151161/120534386 |
j-invariant |
L |
1.4490170577759 |
L(r)(E,1)/r! |
Ω |
0.12075152701984 |
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 |
7378i1 |
Quadratic twists by: 17 |