Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080d |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-453427200 = -1 · 214 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -1 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,192,32] |
[a1,a2,a3,a4,a6] |
Generators |
[1:15:1] |
Generators of the group modulo torsion |
j |
1769472/1025 |
j-invariant |
L |
5.25566510099 |
L(r)(E,1)/r! |
Ω |
1.0002038553356 |
Real period |
R |
1.3136484680028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080dc1 7380c1 118080t1 |
Quadratic twists by: -4 8 -3 |