Atkin-Lehner |
2+ 3+ 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158h |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
367360 |
Modular degree for the optimal curve |
Δ |
-833215400533152 = -1 · 25 · 33 · 77 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -3 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30381,-2458811] |
[a1,a2,a3,a4,a6] |
Generators |
[215:848:1] |
Generators of the group modulo torsion |
j |
-114861420502828299/30859829649376 |
j-invariant |
L |
5.1429144173144 |
L(r)(E,1)/r! |
Ω |
0.17830898196244 |
Real period |
R |
0.51504840887365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67158bi1 |
Quadratic twists by: -3 |