Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800ca |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-57528320000000000 = -1 · 221 · 510 · 532 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 5 0 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79167,7750463] |
[a1,a2,a3,a4,a6] |
Generators |
[19917651:504389764:59319] |
Generators of the group modulo torsion |
j |
21434375/22472 |
j-invariant |
L |
10.22309851752 |
L(r)(E,1)/r! |
Ω |
0.23307826613696 |
Real period |
R |
10.965306512406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800t1 21200i1 84800cm1 |
Quadratic twists by: -4 8 5 |