Atkin-Lehner |
5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97175c |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
144288 |
Modular degree for the optimal curve |
Δ |
-51405575 = -1 · 52 · 132 · 233 |
Discriminant |
Eigenvalues |
-1 -1 5+ -4 4 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33563,2352696] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-42:1] |
Generators of the group modulo torsion |
j |
-989646575880625/12167 |
j-invariant |
L |
2.611825359136 |
L(r)(E,1)/r! |
Ω |
1.4102843032404 |
Real period |
R |
1.8519850001165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999373427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175t1 97175a1 |
Quadratic twists by: 5 13 |