Atkin-Lehner |
2+ 3- 7+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294i |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
147191240448 = 28 · 34 · 7 · 192 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 4 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9369,-349316] |
[a1,a2,a3,a4,a6] |
j |
90936198043269769/147191240448 |
j-invariant |
L |
3.8825227188177 |
L(r)(E,1)/r! |
Ω |
0.48531533986316 |
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 |
126882bi2 |
Quadratic twists by: -3 |