Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103935j |
Isogeny class |
Conductor |
103935 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-270503426626875 = -1 · 37 · 54 · 136 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 0 1 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13295,-522869] |
[a1,a2,a3,a4,a6] |
Generators |
[95:-1268:1] |
Generators of the group modulo torsion |
j |
53838872576/56041875 |
j-invariant |
L |
7.7332847372292 |
L(r)(E,1)/r! |
Ω |
0.29861997995805 |
Real period |
R |
0.46244183021524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
615b1 |
Quadratic twists by: 13 |