Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
104940f |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-56597080320 = -1 · 28 · 33 · 5 · 11 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-663,13198] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1686:1] |
Generators of the group modulo torsion |
j |
-4662947952/8188235 |
j-invariant |
L |
7.1103742853993 |
L(r)(E,1)/r! |
Ω |
0.99744632272449 |
Real period |
R |
3.5642891857814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003419 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104940m2 |
Quadratic twists by: -3 |