Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270by |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-9798753799044000 = -1 · 25 · 315 · 53 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91382,-11627611] |
[a1,a2,a3,a4,a6] |
Generators |
[477:7051:1] |
Generators of the group modulo torsion |
j |
-115764048064464409/13441363236000 |
j-invariant |
L |
8.2582610837905 |
L(r)(E,1)/r! |
Ω |
0.1364048555872 |
Real period |
R |
1.0090380150863 |
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 |
6090k1 91350bc1 127890ev1 |
Quadratic twists by: -3 5 -7 |