Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150cm |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-41383507500 = -1 · 22 · 39 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1163,-18619] |
[a1,a2,a3,a4,a6] |
Generators |
[95:812:1] |
Generators of the group modulo torsion |
j |
-330986425/78732 |
j-invariant |
L |
8.0713756922395 |
L(r)(E,1)/r! |
Ω |
0.40368287416339 |
Real period |
R |
3.3323912071436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150x1 126150br1 |
Quadratic twists by: 5 29 |