Atkin-Lehner |
2+ 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050h |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
2793228281250 = 2 · 3 · 57 · 115 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2006961000,-34607243426250] |
[a1,a2,a3,a4,a6] |
j |
57216394348828693207027666561/178766610 |
j-invariant |
L |
0.22556142057645 |
L(r)(E,1)/r! |
Ω |
0.022556142070963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210y2 |
Quadratic twists by: 5 |