Atkin-Lehner |
2+ 3- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
72816b |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
129321216 = 28 · 32 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-172,620] |
[a1,a2,a3,a4,a6] |
Generators |
[26:120:1] |
Generators of the group modulo torsion |
j |
2211014608/505161 |
j-invariant |
L |
7.4198212683107 |
L(r)(E,1)/r! |
Ω |
1.7440462650464 |
Real period |
R |
2.1271859054147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36408a1 |
Quadratic twists by: -4 |