Atkin-Lehner |
5- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
97825u |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
-56440407354296875 = -1 · 58 · 76 · 134 · 43 |
Discriminant |
Eigenvalues |
-2 2 5- 7- -4 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9458,11438818] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:3412:1] |
Generators of the group modulo torsion |
j |
-239556259840/144487442827 |
j-invariant |
L |
4.4409072446819 |
L(r)(E,1)/r! |
Ω |
0.28562605458549 |
Real period |
R |
0.21594412222636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999424129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825c1 |
Quadratic twists by: 5 |