Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11850o |
Isogeny class |
Conductor |
11850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-7498828125000000000 = -1 · 29 · 35 · 517 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,405224,-86571802] |
[a1,a2,a3,a4,a6] |
j |
470967245655003791/479925000000000 |
j-invariant |
L |
1.2752679034157 |
L(r)(E,1)/r! |
Ω |
0.12752679034157 |
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 |
94800bi1 35550bs1 2370g1 |
Quadratic twists by: -4 -3 5 |