Atkin-Lehner |
2+ 7- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51128b |
Isogeny class |
Conductor |
51128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-85237431664 = -1 · 24 · 7 · 113 · 833 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1132,20685] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:165:1] |
Generators of the group modulo torsion |
j |
-10035213253888/5327339479 |
j-invariant |
L |
11.08415989022 |
L(r)(E,1)/r! |
Ω |
1.0026837517951 |
Real period |
R |
1.8424153960778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102256b1 |
Quadratic twists by: -4 |