Atkin-Lehner |
3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36663a |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1753670005461 = 34 · 118 · 101 |
Discriminant |
Eigenvalues |
0 3+ -1 4 11- 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26781,-1676797] |
[a1,a2,a3,a4,a6] |
j |
1199124250624/989901 |
j-invariant |
L |
1.4928735368112 |
L(r)(E,1)/r! |
Ω |
0.37321838419169 |
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 |
109989i1 3333a1 |
Quadratic twists by: -3 -11 |