Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2574b |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4275640512 = 26 · 33 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14992383,-22339902131] |
[a1,a2,a3,a4,a6] |
j |
13802951728468271053322091/158357056 |
j-invariant |
L |
0.61379291805879 |
L(r)(E,1)/r! |
Ω |
0.076724114757349 |
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 |
20592r2 82368f2 2574q2 64350dc2 |
Quadratic twists by: -4 8 -3 5 |