Atkin-Lehner |
2+ 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050v |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1967431640625000 = -1 · 23 · 32 · 514 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,28724,1023698] |
[a1,a2,a3,a4,a6] |
j |
167749090607951/125915625000 |
j-invariant |
L |
1.193358394258 |
L(r)(E,1)/r! |
Ω |
0.29833959910926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210s2 |
Quadratic twists by: 5 |