Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550dk |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-44130323726562500 = -1 · 22 · 59 · 77 · 193 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -6 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284430,59325697] |
[a1,a2,a3,a4,a6] |
Generators |
[-1437:233455:27] |
Generators of the group modulo torsion |
j |
-11074654989/192052 |
j-invariant |
L |
15.752535391268 |
L(r)(E,1)/r! |
Ω |
0.36073645608895 |
Real period |
R |
1.8194879675295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bp1 6650bg1 |
Quadratic twists by: 5 -7 |