Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320bu |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-51239485440 = -1 · 215 · 37 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,824,6260] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-144:1] |
Generators of the group modulo torsion |
j |
15087533111/12509640 |
j-invariant |
L |
4.5196587205951 |
L(r)(E,1)/r! |
Ω |
0.72763527617214 |
Real period |
R |
0.22183693969262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4290c1 102960eo1 |
Quadratic twists by: -4 -3 |