Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550w |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-61337482640000000 = -1 · 210 · 57 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -4 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-172750,-30167500] |
[a1,a2,a3,a4,a6] |
Generators |
[1196:37818:1] |
Generators of the group modulo torsion |
j |
-904231063/97280 |
j-invariant |
L |
2.4402885287802 |
L(r)(E,1)/r! |
Ω |
0.11638173150331 |
Real period |
R |
2.620996114755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310u1 46550j1 |
Quadratic twists by: 5 -7 |