Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bj |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
2992159246382006272 = 230 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 1 -2 -2 11- 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1041729,-401037793] |
[a1,a2,a3,a4,a6] |
Generators |
[-605821589:2765616908:1092727] |
Generators of the group modulo torsion |
j |
2224882033/53248 |
j-invariant |
L |
4.4215064750838 |
L(r)(E,1)/r! |
Ω |
0.14965600140634 |
Real period |
R |
14.772232380107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dz1 3146m1 100672k1 |
Quadratic twists by: -4 8 -11 |