Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312f |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.4735108353316E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57460129,-114527020511] |
[a1,a2,a3,a4,a6] |
Generators |
[-980321718164548722760452260398793:-54355813712999161533331952392710828:237722571018754252072272323693] |
Generators of the group modulo torsion |
j |
248028267187/76527504 |
j-invariant |
L |
5.98347599014 |
L(r)(E,1)/r! |
Ω |
0.056155868861179 |
Real period |
R |
53.275606909718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69312de2 2166c2 69312bh2 |
Quadratic twists by: -4 8 -19 |