Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23805h |
Isogeny class |
Conductor |
23805 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
229632 |
Modular degree for the optimal curve |
Δ |
-1321497876616875 = -1 · 33 · 54 · 238 |
Discriminant |
Eigenvalues |
-2 3+ 5- 1 -2 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-255507,-49741738] |
[a1,a2,a3,a4,a6] |
Generators |
[1587:59512:1] |
Generators of the group modulo torsion |
j |
-872460288/625 |
j-invariant |
L |
3.0551974184519 |
L(r)(E,1)/r! |
Ω |
0.10616960460662 |
Real period |
R |
1.1990238911331 |
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 |
23805c1 119025k1 23805d1 |
Quadratic twists by: -3 5 -23 |