Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bv |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
2658250 = 2 · 53 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -5 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] [-26:69:8] |
Generators of the group modulo torsion |
j |
132651/62 |
j-invariant |
L |
4.5434233760306 |
L(r)(E,1)/r! |
Ω |
2.0227588782816 |
Real period |
R |
0.56153793525739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950dn1 75950bq1 |
Quadratic twists by: 5 -7 |