Atkin-Lehner |
3- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
50589o |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-102602535651 = -1 · 36 · 74 · 11 · 732 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11- 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3162,-70151] |
[a1,a2,a3,a4,a6] |
Generators |
[383:7409:1] |
Generators of the group modulo torsion |
j |
-4796028780544/140744219 |
j-invariant |
L |
6.1651768254999 |
L(r)(E,1)/r! |
Ω |
0.31778121806622 |
Real period |
R |
2.4250870075914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5621c1 |
Quadratic twists by: -3 |