Atkin-Lehner |
3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75429s |
Isogeny class |
Conductor |
75429 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4208640 |
Modular degree for the optimal curve |
Δ |
-53553987176938317 = -1 · 312 · 173 · 295 |
Discriminant |
Eigenvalues |
1 3- 0 -1 -6 7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57720987,168805217862] |
[a1,a2,a3,a4,a6] |
Generators |
[4398:-894:1] |
Generators of the group modulo torsion |
j |
-5938143247798387978625/14952627621 |
j-invariant |
L |
6.0817913056696 |
L(r)(E,1)/r! |
Ω |
0.23281983812408 |
Real period |
R |
1.3061153536172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25143o1 75429e1 |
Quadratic twists by: -3 17 |