Atkin-Lehner |
2+ 3- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632d |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1713600 |
Modular degree for the optimal curve |
Δ |
-2194086673152 = -1 · 28 · 36 · 115 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 11+ -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3449460,2465896156] |
[a1,a2,a3,a4,a6] |
j |
-24322575388386688000/11756723 |
j-invariant |
L |
0.49998443369743 |
L(r)(E,1)/r! |
Ω |
0.49998562556549 |
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 |
57816d1 12848a1 |
Quadratic twists by: -4 -3 |