Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7896i |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-259999488 = -1 · 28 · 32 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,76,708] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] |
Generators of the group modulo torsion |
j |
187153328/1015623 |
j-invariant |
L |
3.0832801742478 |
L(r)(E,1)/r! |
Ω |
1.2599837798015 |
Real period |
R |
1.2235396295075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15792j1 63168bm1 23688l1 55272bo1 |
Quadratic twists by: -4 8 -3 -7 |