Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87464a |
Isogeny class |
Conductor |
87464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-15836576098304 = -1 · 211 · 13 · 296 |
Discriminant |
Eigenvalues |
2+ -1 -1 5 2 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13736,-643988] |
[a1,a2,a3,a4,a6] |
Generators |
[5376215829:346216567454:1295029] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
6.3136399932103 |
L(r)(E,1)/r! |
Ω |
0.21979107225914 |
Real period |
R |
14.362821762527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104a1 |
Quadratic twists by: 29 |