Atkin-Lehner |
3- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835t |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-6152041780207785 = -1 · 36 · 5 · 75 · 114 · 193 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72675,-8414334] |
[a1,a2,a3,a4,a6] |
j |
-58231056078442801/8439014787665 |
j-invariant |
L |
2.8845757637608 |
L(r)(E,1)/r! |
Ω |
0.14422878837806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7315e1 |
Quadratic twists by: -3 |