Atkin-Lehner |
2- 3+ 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030bg |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
Δ |
2688412771044000000 = 28 · 34 · 56 · 74 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3234595,2236385345] |
[a1,a2,a3,a4,a6] |
Generators |
[-1307:65718:1] |
Generators of the group modulo torsion |
j |
3742686521561161723938481/2688412771044000000 |
j-invariant |
L |
8.1888977557221 |
L(r)(E,1)/r! |
Ω |
0.25346139762531 |
Real period |
R |
0.67308883394442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
90090bf2 |
Quadratic twists by: -3 |