Atkin-Lehner |
3- 5- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
94185bf |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-104433175665 = -1 · 310 · 5 · 7 · 133 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26717,1687574] |
[a1,a2,a3,a4,a6] |
Generators |
[84:133:1] |
Generators of the group modulo torsion |
j |
-2892970570476169/143255385 |
j-invariant |
L |
5.0389005656181 |
L(r)(E,1)/r! |
Ω |
0.99970867118747 |
Real period |
R |
0.84006149459597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31395m1 |
Quadratic twists by: -3 |