Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400x |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
4644000000 = 28 · 33 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-975,11250] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:50:1] [-15:150:1] |
Generators of the group modulo torsion |
j |
949104/43 |
j-invariant |
L |
9.8013621419671 |
L(r)(E,1)/r! |
Ω |
1.3591399508161 |
Real period |
R |
0.90143054585273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77400a1 3096b1 |
Quadratic twists by: -3 5 |