Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224i |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10573541164032 = -1 · 210 · 3 · 74 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5192,214368] |
[a1,a2,a3,a4,a6] |
Generators |
[1754:24745:8] |
Generators of the group modulo torsion |
j |
-15118595620132/10325723793 |
j-invariant |
L |
6.5573553415676 |
L(r)(E,1)/r! |
Ω |
0.66538767893098 |
Real period |
R |
4.9274697654182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001737 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112g3 |
Quadratic twists by: -4 |