Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410bt |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
2572931726197719040 = 216 · 5 · 711 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-864198,299650901] |
[a1,a2,a3,a4,a6] |
Generators |
[9147:177889:27] |
Generators of the group modulo torsion |
j |
606701084966456481/21869558824960 |
j-invariant |
L |
8.7214791515203 |
L(r)(E,1)/r! |
Ω |
0.25483905618168 |
Real period |
R |
1.0694837268199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630s1 |
Quadratic twists by: -7 |