Atkin-Lehner |
2+ 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
61854c |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-4.9730042270957E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25353,339280245] |
[a1,a2,a3,a4,a6] |
Generators |
[4866715230:-184954434527:7414875] |
Generators of the group modulo torsion |
j |
-373403541601/10302881732208 |
j-invariant |
L |
5.4536271538809 |
L(r)(E,1)/r! |
Ω |
0.16013205933998 |
Real period |
R |
17.028530002028 |
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 |
4758e1 |
Quadratic twists by: 13 |