Atkin-Lehner |
2+ 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752g |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
77924568278016 = 210 · 38 · 194 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-313161339,-2133046512250] |
[a1,a2,a3,a4,a6] |
j |
4549887423422069781007588/104387121 |
j-invariant |
L |
1.7944355056852 |
L(r)(E,1)/r! |
Ω |
0.035888682829725 |
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 |
40584o1 |
Quadratic twists by: -3 |