Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
46200o |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-25987500000000 = -1 · 28 · 33 · 511 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23633,1427637] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1250:1] |
Generators of the group modulo torsion |
j |
-364954448896/6496875 |
j-invariant |
L |
5.1882027416868 |
L(r)(E,1)/r! |
Ω |
0.67029534175279 |
Real period |
R |
0.48376089039789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400bu1 9240bi1 |
Quadratic twists by: -4 5 |