Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cs |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5000940000000 = -1 · 28 · 36 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3092,-83812] |
[a1,a2,a3,a4,a6] |
Generators |
[38:300:1] |
Generators of the group modulo torsion |
j |
2382032/3645 |
j-invariant |
L |
7.4811039378386 |
L(r)(E,1)/r! |
Ω |
0.4060544203777 |
Real period |
R |
0.76766228474549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400co2 11760b2 58800p2 |
Quadratic twists by: -4 5 -7 |