Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bg |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-45971898235200 = -1 · 26 · 39 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13392,-676544] |
[a1,a2,a3,a4,a6] |
Generators |
[248:-3472:1] |
Generators of the group modulo torsion |
j |
-14575072995625/2522463552 |
j-invariant |
L |
5.332915415268 |
L(r)(E,1)/r! |
Ω |
0.21982280989761 |
Real period |
R |
0.5054179986223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bv1 97650ex1 |
Quadratic twists by: -3 5 |