Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900dv |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-30866093280000 = -1 · 28 · 313 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6600,337700] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-486:1] |
Generators of the group modulo torsion |
j |
-2252800/2187 |
j-invariant |
L |
4.7412311754672 |
L(r)(E,1)/r! |
Ω |
0.60147351857025 |
Real period |
R |
0.6568910946913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300be1 108900cm1 108900dt1 |
Quadratic twists by: -3 5 -11 |