Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200cp |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1352243200000000 = -1 · 217 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11+ 5 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,1769537] |
[a1,a2,a3,a4,a6] |
j |
-1250/26411 |
j-invariant |
L |
4.6167655952245 |
L(r)(E,1)/r! |
Ω |
0.38473047338671 |
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 |
123200hx1 15400s1 123200bv1 |
Quadratic twists by: -4 8 5 |