Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bs |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
162097968690000 = 24 · 39 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31458,2058343] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:1350:1] |
Generators of the group modulo torsion |
j |
2508888064/118125 |
j-invariant |
L |
4.8698023753913 |
L(r)(E,1)/r! |
Ω |
0.56805577853634 |
Real period |
R |
2.1431884681903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640t1 11760bh1 5040s1 |
Quadratic twists by: -4 -3 -7 |