Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715p |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-205807520847475575 = -1 · 36 · 52 · 79 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1020,21826475] |
[a1,a2,a3,a4,a6] |
Generators |
[2830:63755:8] |
Generators of the group modulo torsion |
j |
1367631/2399636575 |
j-invariant |
L |
7.1555823183703 |
L(r)(E,1)/r! |
Ω |
0.25129232161142 |
Real period |
R |
3.5593916442257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635k1 7245n1 |
Quadratic twists by: -3 -7 |