Atkin-Lehner |
2+ 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768b |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-107218796544 = -1 · 216 · 32 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 1 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20321,1121889] |
[a1,a2,a3,a4,a6] |
Generators |
[83:12:1] |
Generators of the group modulo torsion |
j |
-14161210570084/1636029 |
j-invariant |
L |
6.8182830618858 |
L(r)(E,1)/r! |
Ω |
1.0165709964225 |
Real period |
R |
1.6767847530863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768dd1 15096a1 |
Quadratic twists by: -4 8 |