Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bh |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-2259472574800000000 = -1 · 210 · 58 · 77 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9981325,-12141907875] |
[a1,a2,a3,a4,a6] |
Generators |
[142559701362:-42576467998537:1601613] |
Generators of the group modulo torsion |
j |
-2392985657939305/49165312 |
j-invariant |
L |
5.6996403271693 |
L(r)(E,1)/r! |
Ω |
0.042468993529113 |
Real period |
R |
16.775887104736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550cc1 6650q1 |
Quadratic twists by: 5 -7 |