Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10101g |
Isogeny class |
Conductor |
10101 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
12525532929 = 312 · 72 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-734,5379] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:97:1] |
Generators of the group modulo torsion |
j |
43736987994337/12525532929 |
j-invariant |
L |
3.1297959154914 |
L(r)(E,1)/r! |
Ω |
1.1769400070968 |
Real period |
R |
1.7728436434705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30303l1 70707e1 |
Quadratic twists by: -3 -7 |