Atkin-Lehner |
2- 3+ 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370n |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
81304321289062500 = 22 · 32 · 516 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2849930,-1852959373] |
[a1,a2,a3,a4,a6] |
j |
2559919453233976463202721/81304321289062500 |
j-invariant |
L |
3.7182776109247 |
L(r)(E,1)/r! |
Ω |
0.1161961753414 |
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 |
70110e6 116850bc6 |
Quadratic twists by: -3 5 |