Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775c |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-63206325 = -1 · 34 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -5 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,97,146] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-35:1] |
Generators of the group modulo torsion |
j |
1680455/1053 |
j-invariant |
L |
1.8750944952593 |
L(r)(E,1)/r! |
Ω |
1.2187140686047 |
Real period |
R |
0.25643073897194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775db1 47775ct1 |
Quadratic twists by: 5 -7 |