Atkin-Lehner |
3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15141b |
Isogeny class |
Conductor |
15141 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
605568 |
Modular degree for the optimal curve |
Δ |
-98588746417710843 = -1 · 319 · 77 · 103 |
Discriminant |
Eigenvalues |
0 3+ -4 7- -5 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5967775,5613352527] |
[a1,a2,a3,a4,a6] |
j |
-199789595306121723904/837990517707 |
j-invariant |
L |
0.59308649366286 |
L(r)(E,1)/r! |
Ω |
0.29654324683143 |
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 |
45423e1 2163d1 |
Quadratic twists by: -3 -7 |