Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3030r |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1099275079680000 = -1 · 215 · 312 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21909,995121] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:687:1] |
Generators of the group modulo torsion |
j |
1163027916345872591/1099275079680000 |
j-invariant |
L |
5.1734512856945 |
L(r)(E,1)/r! |
Ω |
0.32116763451448 |
Real period |
R |
0.4027064630528 |
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 |
24240r1 96960r1 9090k1 15150a1 |
Quadratic twists by: -4 8 -3 5 |