Atkin-Lehner |
2- 3+ 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214h |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
297920 |
Modular degree for the optimal curve |
Δ |
-1790741009972916 = -1 · 22 · 33 · 437 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 -2 5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23056,1520487] |
[a1,a2,a3,a4,a6] |
Generators |
[-458:1041:8] |
Generators of the group modulo torsion |
j |
50202980031736701/66323741110108 |
j-invariant |
L |
7.6544393802733 |
L(r)(E,1)/r! |
Ω |
0.31678949555658 |
Real period |
R |
6.0406354121894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47214a1 |
Quadratic twists by: -3 |