Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200cv |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-113356800 = -1 · 212 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,107,323] |
[a1,a2,a3,a4,a6] |
Generators |
[14:69:1] |
Generators of the group modulo torsion |
j |
1310720/1107 |
j-invariant |
L |
8.5320912756189 |
L(r)(E,1)/r! |
Ω |
1.2135312084186 |
Real period |
R |
2.3435989165121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3075b1 49200ci1 |
Quadratic twists by: -4 5 |