Atkin-Lehner |
2+ 3+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97008a |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-17726853888 = -1 · 28 · 36 · 43 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 3 1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14633,-676491] |
[a1,a2,a3,a4,a6] |
Generators |
[126020:5579793:64] |
Generators of the group modulo torsion |
j |
-1353672304000000/69245523 |
j-invariant |
L |
5.9204040888233 |
L(r)(E,1)/r! |
Ω |
0.21703631633823 |
Real period |
R |
6.8196007356716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48504l1 |
Quadratic twists by: -4 |