Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bd |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
-512393960243200 = -1 · 214 · 52 · 79 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-450580,116231760] |
[a1,a2,a3,a4,a6] |
Generators |
[520344:-62604:1331] |
Generators of the group modulo torsion |
j |
-10028098275655/507904 |
j-invariant |
L |
7.503122989048 |
L(r)(E,1)/r! |
Ω |
0.49265538548686 |
Real period |
R |
3.8074905964799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950dl1 75950p1 |
Quadratic twists by: 5 -7 |