Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bk |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-148716672000000 = -1 · 213 · 3 · 56 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66656,6672000] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:3250:1] |
Generators of the group modulo torsion |
j |
-7996280576570209/36307781250 |
j-invariant |
L |
5.8701975750086 |
L(r)(E,1)/r! |
Ω |
0.58177095220785 |
Real period |
R |
2.5225552924629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090ba2 |
Quadratic twists by: -4 |