Atkin-Lehner |
2+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24272c |
Isogeny class |
Conductor |
24272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
589129984 = 28 · 372 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-511,-4290] |
[a1,a2,a3,a4,a6] |
Generators |
[2478:22940:27] |
Generators of the group modulo torsion |
j |
57642982992/2301289 |
j-invariant |
L |
2.5383079137105 |
L(r)(E,1)/r! |
Ω |
1.0066116899194 |
Real period |
R |
5.0432712815279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12136c2 97088m2 |
Quadratic twists by: -4 8 |