Atkin-Lehner |
2+ 3+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
40170a |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
317712564000000 = 28 · 33 · 56 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59328000003,5562060975834957] |
[a1,a2,a3,a4,a6] |
Generators |
[378291447634:214693543183:2685619] |
Generators of the group modulo torsion |
j |
23094195428162397250238755249156826809/317712564000000 |
j-invariant |
L |
3.5958154858834 |
L(r)(E,1)/r! |
Ω |
0.081044690992159 |
Real period |
R |
11.092075994929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120510bh4 |
Quadratic twists by: -3 |