Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330j |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-9716149209375000 = -1 · 23 · 35 · 58 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36208,5430518] |
[a1,a2,a3,a4,a6] |
Generators |
[64:1805:1] |
Generators of the group modulo torsion |
j |
-5249525864582434681/9716149209375000 |
j-invariant |
L |
4.3437419914182 |
L(r)(E,1)/r! |
Ω |
0.36470664714937 |
Real period |
R |
0.29775588307547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640bn2 45990bs2 76650bz2 107310j2 |
Quadratic twists by: -4 -3 5 -7 |