Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bv |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-218666882896875 = -1 · 36 · 55 · 73 · 234 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 3 -1 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,14343,262750] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:402:1] |
Generators of the group modulo torsion |
j |
1305034698752/874503125 |
j-invariant |
L |
3.3228873493349 |
L(r)(E,1)/r! |
Ω |
0.35224628386418 |
Real period |
R |
0.23583551491577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5635c1 50715bf1 |
Quadratic twists by: -3 -7 |