Atkin-Lehner |
2+ 3+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36024b |
Isogeny class |
Conductor |
36024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27776 |
Modular degree for the optimal curve |
Δ |
-63867958272 = -1 · 210 · 37 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 1 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,-12132] |
[a1,a2,a3,a4,a6] |
Generators |
[26:20:1] |
Generators of the group modulo torsion |
j |
-515150500/62371053 |
j-invariant |
L |
5.3024212722533 |
L(r)(E,1)/r! |
Ω |
0.48992207915838 |
Real period |
R |
2.705747249319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048f1 108072m1 |
Quadratic twists by: -4 -3 |