Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800s |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2744000000000 = -1 · 212 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3467,14563] |
[a1,a2,a3,a4,a6] |
Generators |
[78:875:1] |
Generators of the group modulo torsion |
j |
71991296/42875 |
j-invariant |
L |
3.8238278749059 |
L(r)(E,1)/r! |
Ω |
0.49306288947602 |
Real period |
R |
0.64627115467451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
175b2 11200cn2 25200eq2 560c2 |
Quadratic twists by: -4 8 -3 5 |