Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550h |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3412200 = 23 · 3 · 52 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-205,1045] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1:1] |
Generators of the group modulo torsion |
j |
38401771585/136488 |
j-invariant |
L |
2.6787861827965 |
L(r)(E,1)/r! |
Ω |
2.5180234214692 |
Real period |
R |
0.53192241151892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550cf1 |
Quadratic twists by: 5 |