Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450co |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2740500000 = -1 · 25 · 33 · 56 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-238,-2908] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-166:1] |
Generators of the group modulo torsion |
j |
-95443993/175392 |
j-invariant |
L |
9.9463645112243 |
L(r)(E,1)/r! |
Ω |
0.572837537842 |
Real period |
R |
0.57877750986166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350bk1 1218b1 |
Quadratic twists by: -3 5 |