Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49588u |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-53339233024 = -1 · 28 · 77 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 11- -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,11143] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-98:1] |
Generators of the group modulo torsion |
j |
-65536/1771 |
j-invariant |
L |
2.3146231550257 |
L(r)(E,1)/r! |
Ω |
0.93806410196058 |
Real period |
R |
0.20562055675865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084e1 |
Quadratic twists by: -7 |