Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600q |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-611398323200 = -1 · 210 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2072,9212] |
[a1,a2,a3,a4,a6] |
Generators |
[38:376:1] |
Generators of the group modulo torsion |
j |
38409918140/23882747 |
j-invariant |
L |
3.6581433933427 |
L(r)(E,1)/r! |
Ω |
0.56617983025134 |
Real period |
R |
3.2305490216043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81200q1 40600k1 |
Quadratic twists by: -4 5 |