Atkin-Lehner |
2- 3+ 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bd |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2229727500000000 = 28 · 34 · 510 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117800,15346217] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:5581:1] |
Generators of the group modulo torsion |
j |
180783926153919043201/2229727500000000 |
j-invariant |
L |
7.4276269679145 |
L(r)(E,1)/r! |
Ω |
0.46355613591916 |
Real period |
R |
0.20028930674132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090p2 |
Quadratic twists by: -3 |