Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550iu |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2328480 |
Modular degree for the optimal curve |
Δ |
4391157011718750 = 2 · 3 · 510 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2175013,-1234818733] |
[a1,a2,a3,a4,a6] |
Generators |
[-74639146045981500614308645432405695719765041139073363463116198711301458:40680788343787780021453658483309537583392137451825529143741530148658473:87545849190215228980422473222567441908808700374259508473064613804232] |
Generators of the group modulo torsion |
j |
20212728025/78 |
j-invariant |
L |
13.511388058663 |
L(r)(E,1)/r! |
Ω |
0.12431805016471 |
Real period |
R |
108.68404098006 |
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 |
95550cc1 95550he1 |
Quadratic twists by: 5 -7 |