Atkin-Lehner |
5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175v |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
9378720 |
Modular degree for the optimal curve |
Δ |
-3876951438440234375 = -1 · 58 · 138 · 233 |
Discriminant |
Eigenvalues |
-1 1 5- -4 -4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-141803763,649937889392] |
[a1,a2,a3,a4,a6] |
Generators |
[6877:-3151:1] |
Generators of the group modulo torsion |
j |
-989646575880625/12167 |
j-invariant |
L |
1.4948864497774 |
L(r)(E,1)/r! |
Ω |
0.17492423924775 |
Real period |
R |
0.94954533115878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175a1 97175t1 |
Quadratic twists by: 5 13 |