Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400by |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
783071744000000000 = 218 · 59 · 76 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-379408,79111188] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:12250:1] |
Generators of the group modulo torsion |
j |
94376601570889/12235496000 |
j-invariant |
L |
3.497758111797 |
L(r)(E,1)/r! |
Ω |
0.27311341011641 |
Real period |
R |
0.53362418660724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550q3 7280n3 |
Quadratic twists by: -4 5 |