Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155d |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-9294467105859375 = -1 · 3 · 58 · 118 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8649,-4624476] |
[a1,a2,a3,a4,a6] |
Generators |
[1688348802:-39811967350:3176523] |
Generators of the group modulo torsion |
j |
40388911991/5246484375 |
j-invariant |
L |
2.5669327835443 |
L(r)(E,1)/r! |
Ω |
0.19406979268694 |
Real period |
R |
13.226853848235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6105a1 |
Quadratic twists by: -11 |