Atkin-Lehner |
2+ 3- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27030i |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
19919758500000 = 25 · 32 · 56 · 174 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6788,-15262] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:415:1] |
Generators of the group modulo torsion |
j |
34582567949897401/19919758500000 |
j-invariant |
L |
4.6036918775681 |
L(r)(E,1)/r! |
Ω |
0.57273112963686 |
Real period |
R |
0.66984483633811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090bf2 |
Quadratic twists by: -3 |