Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42826t |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
460395425105056 = 25 · 76 · 19 · 235 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20091,-370063] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1041:1] |
Generators of the group modulo torsion |
j |
7623273198241/3913296544 |
j-invariant |
L |
10.024032814767 |
L(r)(E,1)/r! |
Ω |
0.42377409087859 |
Real period |
R |
0.47308379773703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
874e1 |
Quadratic twists by: -7 |