Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
118944f |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
244786752 = 26 · 33 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-285,1692] |
[a1,a2,a3,a4,a6] |
Generators |
[19:56:1] |
Generators of the group modulo torsion |
j |
1481544000/141659 |
j-invariant |
L |
8.1679679622971 |
L(r)(E,1)/r! |
Ω |
1.7079450916261 |
Real period |
R |
1.1955840964334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944n1 118944q1 |
Quadratic twists by: -4 -3 |