Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345be |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-133005125772855 = -1 · 33 · 5 · 74 · 177 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9097,-442339] |
[a1,a2,a3,a4,a6] |
Generators |
[3153423:-27614059:59319] |
Generators of the group modulo torsion |
j |
3449795831/5510295 |
j-invariant |
L |
8.6433383236323 |
L(r)(E,1)/r! |
Ω |
0.30818398985839 |
Real period |
R |
9.3486776385365 |
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 |
91035n1 1785b1 |
Quadratic twists by: -3 17 |