Atkin-Lehner |
3+ 5- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38595d |
Isogeny class |
Conductor |
38595 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
57721924452515625 = 34 · 56 · 312 · 834 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80084625,-275882634690] |
[a1,a2,a3,a4,a6] |
Generators |
[129522211479125387:12789324140913990397:8119389030299] |
Generators of the group modulo torsion |
j |
56802984071155684319064186001/57721924452515625 |
j-invariant |
L |
3.4695652752676 |
L(r)(E,1)/r! |
Ω |
0.050467555360847 |
Real period |
R |
22.916143850323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115785h4 |
Quadratic twists by: -3 |