Atkin-Lehner |
2+ 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61854c |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.5493124137933E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7451213,7713159225] |
[a1,a2,a3,a4,a6] |
Generators |
[1517750:-118988095:2197] |
Generators of the group modulo torsion |
j |
9478609340265344161/156403794179412 |
j-invariant |
L |
5.4536271538809 |
L(r)(E,1)/r! |
Ω |
0.16013205933998 |
Real period |
R |
8.5142650010138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758e2 |
Quadratic twists by: 13 |