Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200c |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-1512284256000000 = -1 · 211 · 39 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 5 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33075,2976750] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:2268:1] |
Generators of the group modulo torsion |
j |
-2646 |
j-invariant |
L |
7.250705983916 |
L(r)(E,1)/r! |
Ω |
0.44859932689323 |
Real period |
R |
2.6938315006401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88200ek1 3528m1 88200r1 |
Quadratic twists by: -3 5 -7 |