Atkin-Lehner |
2- 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832y |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-607905644544 = -1 · 225 · 33 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 11+ 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5281,154177] |
[a1,a2,a3,a4,a6] |
j |
-62146192681/2318976 |
j-invariant |
L |
1.8184518156752 |
L(r)(E,1)/r! |
Ω |
0.90922711877012 |
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 |
128832s1 32208r1 |
Quadratic twists by: -4 8 |