Atkin-Lehner |
2- 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
56100i |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
148608 |
Modular degree for the optimal curve |
Δ |
-12269070000 = -1 · 24 · 38 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64333,6302062] |
[a1,a2,a3,a4,a6] |
Generators |
[127:405:1] [-278:1620:1] |
Generators of the group modulo torsion |
j |
-2944637747200000/1226907 |
j-invariant |
L |
8.5856575879072 |
L(r)(E,1)/r! |
Ω |
1.030479583705 |
Real period |
R |
0.46287280665097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56100p1 |
Quadratic twists by: 5 |