Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200bz |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-46473750000 = -1 · 24 · 37 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-10375] |
[a1,a2,a3,a4,a6] |
Generators |
[40:225:1] |
Generators of the group modulo torsion |
j |
-256/255 |
j-invariant |
L |
4.2066554170902 |
L(r)(E,1)/r! |
Ω |
0.51165255571264 |
Real period |
R |
1.0277128908717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600w1 20400b1 12240l1 |
Quadratic twists by: -4 -3 5 |