Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cd |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-85798080000 = -1 · 29 · 32 · 54 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -3 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,992,-7688] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5556:1] |
Generators of the group modulo torsion |
j |
337031800/268119 |
j-invariant |
L |
6.279340903862 |
L(r)(E,1)/r! |
Ω |
0.59873662040794 |
Real period |
R |
5.2438256589077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400dd1 74400bb1 |
Quadratic twists by: -4 5 |