Atkin-Lehner |
2+ 3- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23994l |
Isogeny class |
Conductor |
23994 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-5830542 = -1 · 2 · 37 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 -2 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13230,-582422] |
[a1,a2,a3,a4,a6] |
Generators |
[300742:58159189:8] |
Generators of the group modulo torsion |
j |
-351312967968481/7998 |
j-invariant |
L |
4.8183252664118 |
L(r)(E,1)/r! |
Ω |
0.22257585925306 |
Real period |
R |
10.82400688597 |
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 |
7998f1 |
Quadratic twists by: -3 |