Atkin-Lehner |
2+ 3- 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030t |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1079188110000 = 24 · 34 · 54 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8333,287768] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:775:1] |
Generators of the group modulo torsion |
j |
63981281825140681/1079188110000 |
j-invariant |
L |
5.4517302519283 |
L(r)(E,1)/r! |
Ω |
0.87391937528253 |
Real period |
R |
0.77978163748883 |
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 |
90090ct3 |
Quadratic twists by: -3 |