Atkin-Lehner |
2- 3+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008q |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
778472902656 = 212 · 37 · 432 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -3 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11221,-451811] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:43:1] |
Generators of the group modulo torsion |
j |
38150229458944/190056861 |
j-invariant |
L |
1.5437873080073 |
L(r)(E,1)/r! |
Ω |
0.46400073048061 |
Real period |
R |
1.6635612901256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6063c1 |
Quadratic twists by: -4 |