Atkin-Lehner |
2- 3- 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870bh |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
404768793600 = 210 · 36 · 52 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3587,77699] |
[a1,a2,a3,a4,a6] |
Generators |
[7:226:1] |
Generators of the group modulo torsion |
j |
6999657683689/555238400 |
j-invariant |
L |
9.5952919482536 |
L(r)(E,1)/r! |
Ω |
0.92558432382194 |
Real period |
R |
0.51833699550568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430b1 |
Quadratic twists by: -3 |