Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536s |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
-28725083300592 = -1 · 24 · 313 · 75 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 3 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17463,924905] |
[a1,a2,a3,a4,a6] |
Generators |
[760:20655:1] |
Generators of the group modulo torsion |
j |
-50493184681216/2462712903 |
j-invariant |
L |
9.5300197178501 |
L(r)(E,1)/r! |
Ω |
0.65670489005818 |
Real period |
R |
3.6279689180473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33768u1 22512e1 |
Quadratic twists by: -4 -3 |