Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760bl |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
3102624000 = 28 · 36 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49887,4288734] |
[a1,a2,a3,a4,a6] |
Generators |
[133:80:1] [193:1360:1] |
Generators of the group modulo torsion |
j |
73572986019024/16625 |
j-invariant |
L |
11.052456206617 |
L(r)(E,1)/r! |
Ω |
1.1292337248289 |
Real period |
R |
3.2625239470191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47880bo1 10640b1 |
Quadratic twists by: -4 -3 |