Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680bz |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
10002432000 = 216 · 3 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50896,4402580] |
[a1,a2,a3,a4,a6] |
Generators |
[16420:184365:64] |
Generators of the group modulo torsion |
j |
3559780767858769/2442000 |
j-invariant |
L |
8.4847504293614 |
L(r)(E,1)/r! |
Ω |
1.067415633638 |
Real period |
R |
7.9488721690592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210t1 |
Quadratic twists by: -4 |