Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428bc |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
1560273677166672 = 24 · 312 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-304356,64600081] |
[a1,a2,a3,a4,a6] |
Generators |
[230:2601:1] [335:486:1] |
Generators of the group modulo torsion |
j |
121672308342784/60886809 |
j-invariant |
L |
10.637423765401 |
L(r)(E,1)/r! |
Ω |
0.4693301299406 |
Real period |
R |
1.8887600090592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34476r1 103428z1 |
Quadratic twists by: -3 13 |