Atkin-Lehner |
3+ 7- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65331d |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
108800 |
Modular degree for the optimal curve |
Δ |
-39303244778553 = -1 · 33 · 75 · 175 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -1 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7780,143680] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:185:1] |
Generators of the group modulo torsion |
j |
1929083697784125/1455675732539 |
j-invariant |
L |
3.6607175160239 |
L(r)(E,1)/r! |
Ω |
0.41364886026965 |
Real period |
R |
0.17699637870339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65331c1 |
Quadratic twists by: -3 |