Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200dz |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-96446700000000 = -1 · 28 · 39 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10500,-227500] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-1350:1] [46:594:1] |
Generators of the group modulo torsion |
j |
35840/27 |
j-invariant |
L |
10.784466246667 |
L(r)(E,1)/r! |
Ω |
0.33551085962894 |
Real period |
R |
0.66965456910349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dk1 88200gq1 88200dh1 |
Quadratic twists by: -3 5 -7 |