Atkin-Lehner |
2- 3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cm |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
23065218283991040 = 212 · 320 · 5 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-157496,-22973676] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:1062:1] [-188:162:1] |
Generators of the group modulo torsion |
j |
105481210840266169/5631156807615 |
j-invariant |
L |
10.167941156461 |
L(r)(E,1)/r! |
Ω |
0.24044878861013 |
Real period |
R |
4.2287346155325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845b3 |
Quadratic twists by: -4 |