Atkin-Lehner |
2+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23240c |
Isogeny class |
Conductor |
23240 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
190400 |
Modular degree for the optimal curve |
Δ |
-88234510403200000 = -1 · 210 · 55 · 7 · 835 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 0 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90280,-17669028] |
[a1,a2,a3,a4,a6] |
Generators |
[10038:3340:27] |
Generators of the group modulo torsion |
j |
-79470000769733284/86166514065625 |
j-invariant |
L |
8.2060456557349 |
L(r)(E,1)/r! |
Ω |
0.13206683866705 |
Real period |
R |
6.213554998786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46480e1 116200q1 |
Quadratic twists by: -4 5 |