Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bx |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
1508944797360000 = 27 · 32 · 54 · 7 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-33996,-1528560] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:900:1] |
Generators of the group modulo torsion |
j |
4345182004652008129/1508944797360000 |
j-invariant |
L |
10.531803824164 |
L(r)(E,1)/r! |
Ω |
0.36158137849109 |
Real period |
R |
0.34675075767879 |
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 |
90090by2 |
Quadratic twists by: -3 |