Atkin-Lehner |
5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175s |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
140400 |
Modular degree for the optimal curve |
Δ |
43365862109375 = 58 · 136 · 23 |
Discriminant |
Eigenvalues |
1 0 5- -1 1 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9242,131041] |
[a1,a2,a3,a4,a6] |
Generators |
[-945600:11138599:15625] |
Generators of the group modulo torsion |
j |
46305/23 |
j-invariant |
L |
6.4297096209738 |
L(r)(E,1)/r! |
Ω |
0.56855718788546 |
Real period |
R |
11.308817780599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175b1 575d1 |
Quadratic twists by: 5 13 |