Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1274i |
Isogeny class |
Conductor |
1274 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-5481502208 = -1 · 29 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 7- -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,342,2743] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:49:1] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
3.1574827618888 |
L(r)(E,1)/r! |
Ω |
0.90843259190521 |
Real period |
R |
0.09654855547726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10192r1 40768bh1 11466n1 31850v1 |
Quadratic twists by: -4 8 -3 5 |