Atkin-Lehner |
3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102921j |
Isogeny class |
Conductor |
102921 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1575617589 = 38 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
-2 3- -3 7+ 2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1512,22052] |
[a1,a2,a3,a4,a6] |
Generators |
[18:31:1] [-12:196:1] |
Generators of the group modulo torsion |
j |
2263495217152/9323181 |
j-invariant |
L |
5.6252412878623 |
L(r)(E,1)/r! |
Ω |
1.5108681376502 |
Real period |
R |
0.23269905001396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102921m1 |
Quadratic twists by: 13 |