Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030q |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4128003418226688000 = -1 · 224 · 32 · 53 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6087764,-5782757038] |
[a1,a2,a3,a4,a6] |
Generators |
[3844407:-398087495:343] |
Generators of the group modulo torsion |
j |
-24951521534991050201195449/4128003418226688000 |
j-invariant |
L |
4.9753807722065 |
L(r)(E,1)/r! |
Ω |
0.048056352546319 |
Real period |
R |
8.6276848404364 |
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 |
90090du3 |
Quadratic twists by: -3 |