Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550kp |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
80277089256000 = 26 · 38 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-436003,110773697] |
[a1,a2,a3,a4,a6] |
Generators |
[368:-625:1] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
12.982181588064 |
L(r)(E,1)/r! |
Ω |
0.54861643287756 |
Real period |
R |
0.24649472751295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550cq1 1950u1 |
Quadratic twists by: 5 -7 |