Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
15576f |
Isogeny class |
Conductor |
15576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
14655396096 = 28 · 36 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26212,1642180] |
[a1,a2,a3,a4,a6] |
Generators |
[40:810:1] |
Generators of the group modulo torsion |
j |
7780379718733648/57247641 |
j-invariant |
L |
4.3180433079694 |
L(r)(E,1)/r! |
Ω |
1.1183372168405 |
Real period |
R |
1.9305640744786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31152k1 124608bp1 46728h1 |
Quadratic twists by: -4 8 -3 |