Atkin-Lehner |
5- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
97825r |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-1528515625 = -1 · 58 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
1 -2 5- 7- -4 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,174,1673] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:14:1] [1:42:1] |
Generators of the group modulo torsion |
j |
1503815/3913 |
j-invariant |
L |
8.8611801929194 |
L(r)(E,1)/r! |
Ω |
1.055254654604 |
Real period |
R |
8.3971960257424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825h1 |
Quadratic twists by: 5 |