Atkin-Lehner |
2- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97088l |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-397672448 = -1 · 218 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 1 -4 -4 -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,959] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:32:1] [5:28:1] |
Generators of the group modulo torsion |
j |
-117649/1517 |
j-invariant |
L |
7.971991295888 |
L(r)(E,1)/r! |
Ω |
1.4305020715599 |
Real period |
R |
1.3932156156107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97088d1 24272f1 |
Quadratic twists by: -4 8 |