Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170bc |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-4030450207213500000 = -1 · 25 · 39 · 56 · 76 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-432833,-145983823] |
[a1,a2,a3,a4,a6] |
Generators |
[1443:-47972:1] |
Generators of the group modulo torsion |
j |
-12301450899744210121/5528738281500000 |
j-invariant |
L |
7.9912024003277 |
L(r)(E,1)/r! |
Ω |
0.091086341751139 |
Real period |
R |
0.73110141494113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390k2 |
Quadratic twists by: -3 |