Atkin-Lehner |
2- 3+ 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950bj |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
11706464250000 = 24 · 310 · 56 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8513,250031] |
[a1,a2,a3,a4,a6] |
j |
4366714263625/749213712 |
j-invariant |
L |
2.7293683721973 |
L(r)(E,1)/r! |
Ω |
0.68234217970739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758c1 |
Quadratic twists by: 5 |