Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394p |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-66319445926272 = -1 · 27 · 3 · 74 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9803,-545475] |
[a1,a2,a3,a4,a6] |
Generators |
[3225:400:27] |
Generators of the group modulo torsion |
j |
-7117036608649/4529707392 |
j-invariant |
L |
5.5439974950288 |
L(r)(E,1)/r! |
Ω |
0.23319582914309 |
Real period |
R |
5.9434998390948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86394cb1 |
Quadratic twists by: -11 |