Atkin-Lehner |
3+ 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743i |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-2.1773078107498E+20 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-670958,-741059782] |
[a1,a2,a3,a4,a6] |
Generators |
[44812062:1899943577:19683] |
Generators of the group modulo torsion |
j |
-827803767892375/5395571728569 |
j-invariant |
L |
3.4629320834214 |
L(r)(E,1)/r! |
Ω |
0.07429149967973 |
Real period |
R |
11.653190778894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743bd1 |
Quadratic twists by: -7 |