Atkin-Lehner |
2- 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670cj |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
203371560000 = 26 · 35 · 54 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1695,-15975] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:105:1] |
Generators of the group modulo torsion |
j |
1570199061367/592920000 |
j-invariant |
L |
15.01738932011 |
L(r)(E,1)/r! |
Ω |
0.76798275033192 |
Real period |
R |
0.32590552562547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670bl1 |
Quadratic twists by: -7 |