Atkin-Lehner |
2+ 3- 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27030i |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-311731584000 = -1 · 210 · 3 · 53 · 172 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1692,-1694] |
[a1,a2,a3,a4,a6] |
Generators |
[10:122:1] |
Generators of the group modulo torsion |
j |
536159131054919/311731584000 |
j-invariant |
L |
4.6036918775681 |
L(r)(E,1)/r! |
Ω |
0.57273112963686 |
Real period |
R |
1.3396896726762 |
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 |
81090bf1 |
Quadratic twists by: -3 |