Atkin-Lehner |
2- 3- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030cb |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-340963983360000 = -1 · 218 · 33 · 54 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46575,3965625] |
[a1,a2,a3,a4,a6] |
Generators |
[390:6525:1] |
Generators of the group modulo torsion |
j |
-11173336687744786801/340963983360000 |
j-invariant |
L |
10.894299125949 |
L(r)(E,1)/r! |
Ω |
0.53795963280191 |
Real period |
R |
0.093755306071657 |
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 |
90090m1 |
Quadratic twists by: -3 |