Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bj |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-896037811200 = -1 · 210 · 36 · 52 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73332,-7625264] |
[a1,a2,a3,a4,a6] |
Generators |
[1160:37724:1] |
Generators of the group modulo torsion |
j |
-2392985657939305/49165312 |
j-invariant |
L |
4.1567926562147 |
L(r)(E,1)/r! |
Ω |
0.14505922859089 |
Real period |
R |
2.3879858688574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650v1 59850gn1 |
Quadratic twists by: -3 5 |