Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47096b |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63840 |
Modular degree for the optimal curve |
Δ |
-1418444109824 = -1 · 211 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ -6 -3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,184,-57232] |
[a1,a2,a3,a4,a6] |
Generators |
[448954:106355917:8] |
Generators of the group modulo torsion |
j |
397822/823543 |
j-invariant |
L |
4.8807335926213 |
L(r)(E,1)/r! |
Ω |
0.39610068256162 |
Real period |
R |
12.321951987168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192k1 47096i1 |
Quadratic twists by: -4 29 |