Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
95760ez |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-22804286400000000 = -1 · 212 · 37 · 58 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28653,7021586] |
[a1,a2,a3,a4,a6] |
Generators |
[607:15750:1] |
Generators of the group modulo torsion |
j |
871257511151/7637109375 |
j-invariant |
L |
6.6119321854135 |
L(r)(E,1)/r! |
Ω |
0.2785985717173 |
Real period |
R |
0.24721696593738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5985p1 31920w1 |
Quadratic twists by: -4 -3 |