Atkin-Lehner |
2+ 3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450q |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
27202500000000 = 28 · 33 · 510 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9000,-216000] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:201:1] |
Generators of the group modulo torsion |
j |
5160676199041/1740960000 |
j-invariant |
L |
4.481406141364 |
L(r)(E,1)/r! |
Ω |
0.50351184259258 |
Real period |
R |
4.4501496907327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090bi1 |
Quadratic twists by: 5 |