Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690w |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-395437638942720 = -1 · 233 · 33 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 11+ -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17452,353207] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2905:1] |
Generators of the group modulo torsion |
j |
21773030977765053/14645838479360 |
j-invariant |
L |
9.1852322051242 |
L(r)(E,1)/r! |
Ω |
0.33550008103216 |
Real period |
R |
3.7333274569763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30690e2 |
Quadratic twists by: -3 |