Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800bt |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-281260000000 = -1 · 28 · 57 · 73 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,-34937] |
[a1,a2,a3,a4,a6] |
Generators |
[63:350:1] |
Generators of the group modulo torsion |
j |
-99672064/70315 |
j-invariant |
L |
4.2292172802341 |
L(r)(E,1)/r! |
Ω |
0.36995741627705 |
Real period |
R |
0.47631803058059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999294425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28700b1 22960h1 |
Quadratic twists by: -4 5 |