Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760p |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
-16754169600000 = -1 · 211 · 39 · 55 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41067,3209274] |
[a1,a2,a3,a4,a6] |
Generators |
[183:1350:1] |
Generators of the group modulo torsion |
j |
-190012163094/415625 |
j-invariant |
L |
9.4136768793022 |
L(r)(E,1)/r! |
Ω |
0.69563578111811 |
Real period |
R |
0.67662397058263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47880y1 95760g1 |
Quadratic twists by: -4 -3 |