Atkin-Lehner |
2+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350c |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-2761718750 = -1 · 2 · 59 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -4 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,83,2491] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-67:1] |
Generators of the group modulo torsion |
j |
4019679/176750 |
j-invariant |
L |
1.6105496775432 |
L(r)(E,1)/r! |
Ω |
1.0876250915123 |
Real period |
R |
0.37019872245337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070i1 |
Quadratic twists by: 5 |