Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
80100h |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-175178700000000 = -1 · 28 · 39 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27000,1822500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1350:1] |
Generators of the group modulo torsion |
j |
-1105920/89 |
j-invariant |
L |
4.0691539872182 |
L(r)(E,1)/r! |
Ω |
0.55962729995193 |
Real period |
R |
0.40395475774548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80100j1 80100c1 |
Quadratic twists by: -3 5 |