Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650cn |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-158925375000000 = -1 · 26 · 33 · 59 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3370,600997] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:755:1] |
Generators of the group modulo torsion |
j |
10035763893/376712000 |
j-invariant |
L |
12.584005071086 |
L(r)(E,1)/r! |
Ω |
0.43519626887314 |
Real period |
R |
0.60241043258704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650g1 19530a1 |
Quadratic twists by: -3 5 |