Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504h |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-565001993926656 = -1 · 211 · 32 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20288,-272864] |
[a1,a2,a3,a4,a6] |
Generators |
[37:726:1] |
Generators of the group modulo torsion |
j |
254527054/155727 |
j-invariant |
L |
5.0737006581296 |
L(r)(E,1)/r! |
Ω |
0.29989324237987 |
Real period |
R |
2.1147945084529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37752y1 6864e1 |
Quadratic twists by: -4 -11 |