Atkin-Lehner |
2+ 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798l |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-586470664776351744 = -1 · 215 · 321 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,100305,-34782291] |
[a1,a2,a3,a4,a6] |
Generators |
[229:282:1] [1665:68058:1] |
Generators of the group modulo torsion |
j |
153095172022936079/804486508609536 |
j-invariant |
L |
5.5275844166412 |
L(r)(E,1)/r! |
Ω |
0.14584564649608 |
Real period |
R |
9.4750589912026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266h1 |
Quadratic twists by: -3 |