Atkin-Lehner |
3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075v |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
4415924619140625 = 38 · 510 · 413 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131563,-18098008] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:299:1] [-1754:4627:8] |
Generators of the group modulo torsion |
j |
233858751281/4100625 |
j-invariant |
L |
8.5795124707727 |
L(r)(E,1)/r! |
Ω |
0.25094477911381 |
Real period |
R |
2.1368028897957 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25215c1 126075g1 |
Quadratic twists by: 5 41 |