Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768cn |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-92749824 = -1 · 214 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -5 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111,81] |
[a1,a2,a3,a4,a6] |
Generators |
[0:9:1] |
Generators of the group modulo torsion |
j |
9148592/5661 |
j-invariant |
L |
8.6814058058622 |
L(r)(E,1)/r! |
Ω |
1.1767163322051 |
Real period |
R |
1.8444134967928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998454161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768bj1 30192w1 |
Quadratic twists by: -4 8 |