Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010z |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-340479859334396670 = -1 · 2 · 320 · 5 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,156627,-14782274] |
[a1,a2,a3,a4,a6] |
Generators |
[272:6789:1] [362:9273:1] |
Generators of the group modulo torsion |
j |
3611930181361991/2894031052830 |
j-invariant |
L |
11.063442175631 |
L(r)(E,1)/r! |
Ω |
0.16866136644874 |
Real period |
R |
6.5595591953689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2490b4 |
Quadratic twists by: -7 |