Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950di |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-22612137800000000 = -1 · 29 · 58 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -1 0 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37388,-7754608] |
[a1,a2,a3,a4,a6] |
Generators |
[788:20872:1] |
Generators of the group modulo torsion |
j |
-125768785/492032 |
j-invariant |
L |
11.818389027242 |
L(r)(E,1)/r! |
Ω |
0.15681012450264 |
Real period |
R |
2.0935420153774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950ba1 1550g1 |
Quadratic twists by: 5 -7 |