Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690o |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
9932041800 = 23 · 310 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -2 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-549,-1107] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] |
Generators of the group modulo torsion |
j |
29878729/16200 |
j-invariant |
L |
5.2694763516839 |
L(r)(E,1)/r! |
Ω |
1.051457282169 |
Real period |
R |
1.2528983438148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230y1 75690bq1 |
Quadratic twists by: -3 29 |