Atkin-Lehner |
2+ 3- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23370h |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-170182490040 = -1 · 23 · 32 · 5 · 193 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1367,-3772] |
[a1,a2,a3,a4,a6] |
j |
282804208512119/170182490040 |
j-invariant |
L |
3.5537758075636 |
L(r)(E,1)/r! |
Ω |
0.59229596792727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70110bf2 116850bv2 |
Quadratic twists by: -3 5 |