Atkin-Lehner |
5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555p |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-6035813875 = -1 · 53 · 75 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-725,8332] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:128:1] |
Generators of the group modulo torsion |
j |
-249395415529/35714875 |
j-invariant |
L |
3.1866786744141 |
L(r)(E,1)/r! |
Ω |
1.300119697996 |
Real period |
R |
0.16340437280137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100555d1 |
Quadratic twists by: 13 |