Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28600j |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
157300000000 = 28 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 11+ 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11833,499037] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-550:1] [1:698:1] |
Generators of the group modulo torsion |
j |
1832504320/1573 |
j-invariant |
L |
6.2254163652542 |
L(r)(E,1)/r! |
Ω |
1.0176212379905 |
Real period |
R |
0.25490068295403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57200t1 28600o1 |
Quadratic twists by: -4 5 |