Atkin-Lehner |
2- 3+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
30906l |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
28097120305152 = 221 · 33 · 173 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13466,548057] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:291:1] [-111:871:1] |
Generators of the group modulo torsion |
j |
10001048710378851/1040634085376 |
j-invariant |
L |
10.316400015432 |
L(r)(E,1)/r! |
Ω |
0.64530749874475 |
Real period |
R |
0.12687934164399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30906b1 |
Quadratic twists by: -3 |