Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48552r |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-9904771426032 = -1 · 24 · 32 · 77 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48648,-4148991] |
[a1,a2,a3,a4,a6] |
Generators |
[708:17799:1] |
Generators of the group modulo torsion |
j |
-9528223648000/7411887 |
j-invariant |
L |
7.605947201803 |
L(r)(E,1)/r! |
Ω |
0.16072458294585 |
Real period |
R |
3.9435718037925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104k1 48552f1 |
Quadratic twists by: -4 17 |