Atkin-Lehner |
2+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800t |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1868800000000000 = -1 · 219 · 511 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30367,-411137] |
[a1,a2,a3,a4,a6] |
Generators |
[19:416:1] [98:1875:1] |
Generators of the group modulo torsion |
j |
756058031/456250 |
j-invariant |
L |
6.4631662622878 |
L(r)(E,1)/r! |
Ω |
0.27253752274026 |
Real period |
R |
1.48217349045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cm1 3650d1 23360h1 |
Quadratic twists by: -4 8 5 |