Atkin-Lehner |
2+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98624b |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-213696905216 = -1 · 218 · 233 · 67 |
Discriminant |
Eigenvalues |
2+ -1 1 4 -2 -2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,255,-22271] |
[a1,a2,a3,a4,a6] |
Generators |
[451:9572:1] |
Generators of the group modulo torsion |
j |
6967871/815189 |
j-invariant |
L |
5.1618287698642 |
L(r)(E,1)/r! |
Ω |
0.4731215529744 |
Real period |
R |
5.4550767480741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98624o1 1541a1 |
Quadratic twists by: -4 8 |