Atkin-Lehner |
2- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100c |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
99455500000000 = 28 · 59 · 193 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 5 5 -6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71575,7354750] |
[a1,a2,a3,a4,a6] |
j |
10137895047504/24863875 |
j-invariant |
L |
1.2002446942392 |
L(r)(E,1)/r! |
Ω |
0.6001223454067 |
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 |
11020a1 |
Quadratic twists by: 5 |