Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bz |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-165762298492416000 = -1 · 212 · 37 · 53 · 236 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64373,-20556403] |
[a1,a2,a3,a4,a6] |
j |
-273359449/1536000 |
j-invariant |
L |
6.4564344115254 |
L(r)(E,1)/r! |
Ω |
0.13450905022938 |
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 |
15870u3 90c3 |
Quadratic twists by: -3 -23 |