Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bm |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-91225328839557120 = -1 · 227 · 33 · 5 · 132 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115856,21051840] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2522:1] |
Generators of the group modulo torsion |
j |
-41987798382421009/22271808798720 |
j-invariant |
L |
4.9098654218423 |
L(r)(E,1)/r! |
Ω |
0.31529598565317 |
Real period |
R |
3.8930605370358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999692736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090bb1 |
Quadratic twists by: -4 |