Atkin-Lehner |
2+ 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798k |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
7274364408 = 23 · 312 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -3 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4302,-107460] |
[a1,a2,a3,a4,a6] |
j |
12079923558625/9978552 |
j-invariant |
L |
1.1790405801405 |
L(r)(E,1)/r! |
Ω |
0.58952029007068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266g1 |
Quadratic twists by: -3 |