Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770b |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-1266447932006400000 = -1 · 216 · 39 · 55 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,85342,53322612] |
[a1,a2,a3,a4,a6] |
Generators |
[148:8246:1] |
Generators of the group modulo torsion |
j |
2406749003502311/44341862400000 |
j-invariant |
L |
2.4042176284525 |
L(r)(E,1)/r! |
Ω |
0.20306983136406 |
Real period |
R |
1.9732273148876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770ci1 |
Quadratic twists by: 13 |