Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120u |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1018368 |
Modular degree for the optimal curve |
Δ |
-1.9895744189715E+19 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 -2 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-643603,-292490542] |
[a1,a2,a3,a4,a6] |
j |
-60698457/40960 |
j-invariant |
L |
5.8908797644551 |
L(r)(E,1)/r! |
Ω |
0.081817774506321 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2890d1 92480eg1 115600cf1 23120bn1 |
Quadratic twists by: -4 8 5 17 |