Atkin-Lehner |
2- 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030by |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1741128280131240 = 23 · 32 · 5 · 72 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11384275,-14785432903] |
[a1,a2,a3,a4,a6] |
Generators |
[-1948:983:1] |
Generators of the group modulo torsion |
j |
163169825370226584856455601/1741128280131240 |
j-invariant |
L |
10.778877812288 |
L(r)(E,1)/r! |
Ω |
0.08219080048962 |
Real period |
R |
2.7321786998658 |
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 |
90090r6 |
Quadratic twists by: -3 |