Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550bz |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55050240 |
Modular degree for the optimal curve |
Δ |
-1.2123667584516E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-859780692,-9717762644784] |
[a1,a2,a3,a4,a6] |
j |
-6170768047181777430174841/10643549045391360000 |
j-invariant |
L |
2.7877755845805 |
L(r)(E,1)/r! |
Ω |
0.013938875557301 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850ct1 23310bi1 |
Quadratic twists by: -3 5 |