Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330n |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
235008900 = 22 · 32 · 52 · 72 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1023,12478] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:165:1] |
Generators of the group modulo torsion |
j |
118233407998441/235008900 |
j-invariant |
L |
4.8245435396231 |
L(r)(E,1)/r! |
Ω |
1.7640919249456 |
Real period |
R |
1.3674297442782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122640bu2 45990bw2 76650ce2 107310q2 |
Quadratic twists by: -4 -3 5 -7 |