Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18300n |
Isogeny class |
Conductor |
18300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-4255893750000 = -1 · 24 · 3 · 58 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6958,-246787] |
[a1,a2,a3,a4,a6] |
Generators |
[12459:263179:27] |
Generators of the group modulo torsion |
j |
-5961552640/680943 |
j-invariant |
L |
6.5700768922182 |
L(r)(E,1)/r! |
Ω |
0.25969365331226 |
Real period |
R |
8.4331118716484 |
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 |
73200cd2 54900x2 18300d2 |
Quadratic twists by: -4 -3 5 |