Atkin-Lehner |
2+ 3- 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450bh |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-88795579598437500 = -1 · 22 · 310 · 58 · 19 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 -7 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76951,16517798] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:4286:1] [2966:-51437:8] |
Generators of the group modulo torsion |
j |
-129002571780745/227316683772 |
j-invariant |
L |
10.318773531766 |
L(r)(E,1)/r! |
Ω |
0.30376810863644 |
Real period |
R |
0.18871803191014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450bo1 |
Quadratic twists by: 5 |