Atkin-Lehner |
2- 3+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23970q |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
113054025600 = 27 · 32 · 52 · 174 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31995,-2216055] |
[a1,a2,a3,a4,a6] |
j |
3622187303967916081/113054025600 |
j-invariant |
L |
4.9975575541154 |
L(r)(E,1)/r! |
Ω |
0.35696839672253 |
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 |
71910h2 119850z2 |
Quadratic twists by: -3 5 |