Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200bi |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-787320000000000 = -1 · 212 · 39 · 510 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -4 3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15000,1150000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1044:1] |
Generators of the group modulo torsion |
j |
12800/27 |
j-invariant |
L |
4.1925291501207 |
L(r)(E,1)/r! |
Ω |
0.3489860375942 |
Real period |
R |
3.003364532162 |
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 |
7200i1 14400ba1 2400j1 7200t1 |
Quadratic twists by: -4 8 -3 5 |