Atkin-Lehner |
2- 3+ 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bd |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-167898931200000 = -1 · 216 · 32 · 55 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1320,623145] |
[a1,a2,a3,a4,a6] |
Generators |
[133:-1747:1] |
Generators of the group modulo torsion |
j |
-254370104714881/167898931200000 |
j-invariant |
L |
7.4276269679145 |
L(r)(E,1)/r! |
Ω |
0.46355613591916 |
Real period |
R |
0.10014465337066 |
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 |
90090p1 |
Quadratic twists by: -3 |