Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825d |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2340623935546875 = 312 · 510 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-69625,-6706250] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:700:1] |
Generators of the group modulo torsion |
j |
2388960983460241/149799931875 |
j-invariant |
L |
4.427977277434 |
L(r)(E,1)/r! |
Ω |
0.29506004881698 |
Real period |
R |
1.8758797129548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101475bu3 6765f3 |
Quadratic twists by: -3 5 |