Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824cl |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-33749669221761024 = -1 · 222 · 313 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39171,9328898] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:3402:1] |
Generators of the group modulo torsion |
j |
-2226025896193/11302695936 |
j-invariant |
L |
9.9941747039942 |
L(r)(E,1)/r! |
Ω |
0.31929925723071 |
Real period |
R |
1.9562711284374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12978d1 34608s1 |
Quadratic twists by: -4 -3 |