Atkin-Lehner |
3+ 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77775d |
Isogeny class |
Conductor |
77775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-403263375 = -1 · 3 · 53 · 172 · 612 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28,956] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-33:1] [38:225:8] |
Generators of the group modulo torsion |
j |
-19465109/3226107 |
j-invariant |
L |
5.7750120783138 |
L(r)(E,1)/r! |
Ω |
1.3771316665823 |
Real period |
R |
2.0967537885294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77775l2 |
Quadratic twists by: 5 |