Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
15576b |
Isogeny class |
Conductor |
15576 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46592 |
Modular degree for the optimal curve |
Δ |
-2119097604096 = -1 · 211 · 313 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 11- -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20472,-1122804] |
[a1,a2,a3,a4,a6] |
Generators |
[32861648026:-475825705967:111980168] |
Generators of the group modulo torsion |
j |
-463335730397426/1034715627 |
j-invariant |
L |
3.6484733410266 |
L(r)(E,1)/r! |
Ω |
0.19953524260468 |
Real period |
R |
18.284856817274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31152g1 124608bd1 46728o1 |
Quadratic twists by: -4 8 -3 |