Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136bf |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-104901495552 = -1 · 28 · 34 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,523,-15063] |
[a1,a2,a3,a4,a6] |
Generators |
[61:490:1] |
Generators of the group modulo torsion |
j |
524288/3483 |
j-invariant |
L |
7.2615123981645 |
L(r)(E,1)/r! |
Ω |
0.52862614919455 |
Real period |
R |
1.7170717917854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25284m1 2064k1 |
Quadratic twists by: -4 -7 |