Atkin-Lehner |
5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
70225f |
Isogeny class |
Conductor |
70225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3032640 |
Modular degree for the optimal curve |
Δ |
1.1471788474971E+19 |
Discriminant |
Eigenvalues |
-2 -2 5+ 3 -5 6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-585208,-56196256] |
[a1,a2,a3,a4,a6] |
Generators |
[989:18258:1] |
Generators of the group modulo torsion |
j |
102400/53 |
j-invariant |
L |
2.3686901076928 |
L(r)(E,1)/r! |
Ω |
0.18261876242704 |
Real period |
R |
3.2426707898633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70225j1 1325d1 |
Quadratic twists by: 5 53 |