Atkin-Lehner |
2- 3+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bf |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-117898704 = -1 · 24 · 32 · 74 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ -3 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99,-687] |
[a1,a2,a3,a4,a6] |
Generators |
[13:14:1] |
Generators of the group modulo torsion |
j |
-44720977/49104 |
j-invariant |
L |
10.913077923462 |
L(r)(E,1)/r! |
Ω |
0.72543917813995 |
Real period |
R |
0.62680869093511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999679209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254cn1 |
Quadratic twists by: -7 |