Atkin-Lehner |
5+ 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675x |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9209515046875 = -1 · 56 · 11 · 133 · 293 |
Discriminant |
Eigenvalues |
-1 -2 5+ 5 11- 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16913,857692] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-196:1] |
Generators of the group modulo torsion |
j |
-34242639807817/589408963 |
j-invariant |
L |
3.5424170818091 |
L(r)(E,1)/r! |
Ω |
0.7310095965693 |
Real period |
R |
0.80765403062269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147c1 |
Quadratic twists by: 5 |