Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1274i |
Isogeny class |
Conductor |
1274 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-21412118 = -1 · 2 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 7- -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-767488,258474999] |
[a1,a2,a3,a4,a6] |
Generators |
[4038:-1827:8] |
Generators of the group modulo torsion |
j |
-424962187484640625/182 |
j-invariant |
L |
3.1574827618888 |
L(r)(E,1)/r! |
Ω |
0.90843259190521 |
Real period |
R |
0.86893699929534 |
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 |
10192r3 40768bh3 11466n3 31850v3 |
Quadratic twists by: -4 8 -3 5 |