Atkin-Lehner |
3- 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415j |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
241729186545 = 310 · 5 · 74 · 11 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1643,10266] |
[a1,a2,a3,a4,a6] |
Generators |
[6:21:1] |
Generators of the group modulo torsion |
j |
672451615081/331590105 |
j-invariant |
L |
3.0277944598299 |
L(r)(E,1)/r! |
Ω |
0.8771141176547 |
Real period |
R |
1.7259980226921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805d1 |
Quadratic twists by: -3 |