Atkin-Lehner |
2- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85652a |
Isogeny class |
Conductor |
85652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-276469064252528 = -1 · 24 · 78 · 194 · 23 |
Discriminant |
Eigenvalues |
2- 1 0 7- 2 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6778,-830579] |
[a1,a2,a3,a4,a6] |
Generators |
[4977957:157945081:4913] |
Generators of the group modulo torsion |
j |
-18297184000/146871767 |
j-invariant |
L |
7.1924954193254 |
L(r)(E,1)/r! |
Ω |
0.2317455132616 |
Real period |
R |
7.7590449474911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12236a1 |
Quadratic twists by: -7 |