Atkin-Lehner |
2+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800r |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1868800 = 210 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 2 2 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193,1097] |
[a1,a2,a3,a4,a6] |
Generators |
[8:1:1] [16:43:1] |
Generators of the group modulo torsion |
j |
31217920/73 |
j-invariant |
L |
8.6622703372631 |
L(r)(E,1)/r! |
Ω |
2.6421236126215 |
Real period |
R |
3.2785257639246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cj1 14600b1 116800y1 |
Quadratic twists by: -4 8 5 |