Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400bl |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-27675000000 = -1 · 26 · 33 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -5 2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2458,-48412] |
[a1,a2,a3,a4,a6] |
Generators |
[64:246:1] |
Generators of the group modulo torsion |
j |
-65721280/1107 |
j-invariant |
L |
8.5071309011267 |
L(r)(E,1)/r! |
Ω |
0.33866870020546 |
Real period |
R |
4.1865550183342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400o1 98400bw1 |
Quadratic twists by: -4 5 |