Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
129430n |
Isogeny class |
Conductor |
129430 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
22353408 |
Modular degree for the optimal curve |
Δ |
-6.5684319358438E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5311291,39274592713] |
[a1,a2,a3,a4,a6] |
j |
-2621279152968841/103908474880000 |
j-invariant |
L |
8.1691103633673 |
L(r)(E,1)/r! |
Ω |
0.07563990592941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3010b1 |
Quadratic twists by: -43 |