Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
46200ca |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-44757296718750000 = -1 · 24 · 312 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-147383,24088512] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1875:1] |
Generators of the group modulo torsion |
j |
-1416213817563136/179029186875 |
j-invariant |
L |
5.8709996196191 |
L(r)(E,1)/r! |
Ω |
0.34900560328782 |
Real period |
R |
2.1027597996716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400cg1 9240n1 |
Quadratic twists by: -4 5 |