Atkin-Lehner |
2+ 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
125504d |
Isogeny class |
Conductor |
125504 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7756800 |
Modular degree for the optimal curve |
Δ |
-4802558861598785536 = -1 · 223 · 372 · 535 |
Discriminant |
Eigenvalues |
2+ -2 -3 4 5 2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13201537,18458161119] |
[a1,a2,a3,a4,a6] |
Generators |
[3298:103933:1] |
Generators of the group modulo torsion |
j |
-970638056074980108577/18320308157344 |
j-invariant |
L |
4.8083920934441 |
L(r)(E,1)/r! |
Ω |
0.22419626158878 |
Real period |
R |
1.072362236113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125504j1 3922b1 |
Quadratic twists by: -4 8 |