Atkin-Lehner |
3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
103935o |
Isogeny class |
Conductor |
103935 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2370816 |
Modular degree for the optimal curve |
Δ |
-37949159489877675 = -1 · 33 · 52 · 138 · 413 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 1 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-563840,-163417744] |
[a1,a2,a3,a4,a6] |
j |
-4107069156265984/7862163075 |
j-invariant |
L |
3.1356911241365 |
L(r)(E,1)/r! |
Ω |
0.087102516473407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7995e1 |
Quadratic twists by: 13 |