Atkin-Lehner |
2- 3+ 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970o |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-8966597405400000 = -1 · 26 · 35 · 55 · 174 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20401,-4700401] |
[a1,a2,a3,a4,a6] |
j |
-939029876539375249/8966597405400000 |
j-invariant |
L |
1.0456042269713 |
L(r)(E,1)/r! |
Ω |
0.17426737116189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910s1 119850bg1 |
Quadratic twists by: -3 5 |