Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
3030u |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
225 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-100528128000 = -1 · 215 · 35 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1110,20772] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-102:1] |
Generators of the group modulo torsion |
j |
-151257563987041/100528128000 |
j-invariant |
L |
5.394090859323 |
L(r)(E,1)/r! |
Ω |
0.98166431807844 |
Real period |
R |
0.024421522419674 |
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 |
24240bd1 96960d1 9090d1 15150g1 |
Quadratic twists by: -4 8 -3 5 |