Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7896k |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3868155648 = -1 · 28 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -6 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-740,8064] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-336:1] [-14:126:1] |
Generators of the group modulo torsion |
j |
-175293437776/15109983 |
j-invariant |
L |
5.1761390681999 |
L(r)(E,1)/r! |
Ω |
1.3654283061622 |
Real period |
R |
0.23692836182057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15792e1 63168m1 23688f1 55272r1 |
Quadratic twists by: -4 8 -3 -7 |