Atkin-Lehner |
3+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105ba |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28788480 |
Modular degree for the optimal curve |
Δ |
-1.9678249308786E+24 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11+ 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,16576390,-62298095602] |
[a1,a2,a3,a4,a6] |
Generators |
[78139:21870537:1] |
Generators of the group modulo torsion |
j |
12482776476508516352/48764536237828125 |
j-invariant |
L |
3.148985521191 |
L(r)(E,1)/r! |
Ω |
0.04210578674905 |
Real period |
R |
6.2322896591081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105bu1 |
Quadratic twists by: -7 |