Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030a |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
70549971679687500 = 22 · 38 · 512 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-261268,-49896812] |
[a1,a2,a3,a4,a6] |
Generators |
[-317:1252:1] |
Generators of the group modulo torsion |
j |
1972354483749778615369/70549971679687500 |
j-invariant |
L |
2.9043114025792 |
L(r)(E,1)/r! |
Ω |
0.2116321788617 |
Real period |
R |
3.4308480617179 |
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 |
90090dn4 |
Quadratic twists by: -3 |