Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743bj |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
46370709 = 32 · 72 · 113 · 79 |
Discriminant |
Eigenvalues |
-2 3- 1 7- 11- -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-100,172] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-17:1] [10:53:8] |
Generators of the group modulo torsion |
j |
2279624704/946341 |
j-invariant |
L |
8.1339859136111 |
L(r)(E,1)/r! |
Ω |
1.8257654771951 |
Real period |
R |
0.74251832180793 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127743c1 |
Quadratic twists by: -7 |