Atkin-Lehner |
2+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98624g |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-100990976 = -1 · 216 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -3 2 6 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97,-641] |
[a1,a2,a3,a4,a6] |
Generators |
[687:3196:27] |
Generators of the group modulo torsion |
j |
-1556068/1541 |
j-invariant |
L |
7.2690534147738 |
L(r)(E,1)/r! |
Ω |
0.73071051352457 |
Real period |
R |
4.9739625195755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98624j1 12328b1 |
Quadratic twists by: -4 8 |