Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150c |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
212878125000 = 23 · 34 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 2 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1525,5125] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:115:1] |
Generators of the group modulo torsion |
j |
29878729/16200 |
j-invariant |
L |
3.6473830808532 |
L(r)(E,1)/r! |
Ω |
0.87136086682591 |
Real period |
R |
1.0464617091068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998713152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230y1 126150db1 |
Quadratic twists by: 5 29 |