Atkin-Lehner |
2- 3+ 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27030l |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1100800 |
Modular degree for the optimal curve |
Δ |
28572403598437500 = 22 · 35 · 58 · 175 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -2 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6737606,6728605319] |
[a1,a2,a3,a4,a6] |
Generators |
[1169:20665:1] |
Generators of the group modulo torsion |
j |
33825213667404814748719969/28572403598437500 |
j-invariant |
L |
4.4640457977994 |
L(r)(E,1)/r! |
Ω |
0.31158314276928 |
Real period |
R |
0.71634905504257 |
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 |
81090r1 |
Quadratic twists by: -3 |