Atkin-Lehner |
3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96237o |
Isogeny class |
Conductor |
96237 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
651062648637 = 36 · 176 · 37 |
Discriminant |
Eigenvalues |
2 3- -2 1 -5 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2601,-33163] |
[a1,a2,a3,a4,a6] |
Generators |
[-328780:521691:8000] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
9.7915562476806 |
L(r)(E,1)/r! |
Ω |
0.68652634595877 |
Real period |
R |
7.1312312254728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10693g1 333d1 |
Quadratic twists by: -3 17 |