Atkin-Lehner |
2- 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290v |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
6536393625600 = 212 · 310 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15458,733281] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-705:1] |
Generators of the group modulo torsion |
j |
560311780092121/8966246400 |
j-invariant |
L |
10.037879317859 |
L(r)(E,1)/r! |
Ω |
0.7524193809773 |
Real period |
R |
0.55586682434735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430i1 |
Quadratic twists by: -3 |