Atkin-Lehner |
5+ 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
97825i |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7037184 |
Modular degree for the optimal curve |
Δ |
3.5122721633911E+20 |
Discriminant |
Eigenvalues |
2 2 5+ 7+ 2 13- 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4054258,-3008557207] |
[a1,a2,a3,a4,a6] |
j |
471669658893725003776/22478541845703125 |
j-invariant |
L |
7.6830788057918 |
L(r)(E,1)/r! |
Ω |
0.10670942979222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19565g1 |
Quadratic twists by: 5 |