Atkin-Lehner |
2+ 3+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150u |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1661550286500 = -1 · 22 · 312 · 53 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2960,3700] |
[a1,a2,a3,a4,a6] |
Generators |
[15:220:1] |
Generators of the group modulo torsion |
j |
22932930790531/13292402292 |
j-invariant |
L |
4.1531310870001 |
L(r)(E,1)/r! |
Ω |
0.50533468885328 |
Real period |
R |
2.054643773727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72150cx2 |
Quadratic twists by: 5 |