Atkin-Lehner |
2+ 3+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27030b |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
271360 |
Modular degree for the optimal curve |
Δ |
5024741850000 = 24 · 38 · 55 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-997092,382807296] |
[a1,a2,a3,a4,a6] |
Generators |
[657:3114:1] [-793:26389:1] |
Generators of the group modulo torsion |
j |
109630170120734467746121/5024741850000 |
j-invariant |
L |
5.1888892157131 |
L(r)(E,1)/r! |
Ω |
0.57242992742855 |
Real period |
R |
0.90646714420108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81090bc1 |
Quadratic twists by: -3 |