Atkin-Lehner |
3+ 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61065c |
Isogeny class |
Conductor |
61065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
15358152825 = 39 · 52 · 232 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-623,622] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:68:1] |
Generators of the group modulo torsion |
j |
1356572043/780275 |
j-invariant |
L |
2.5007758571206 |
L(r)(E,1)/r! |
Ω |
1.0610675870936 |
Real period |
R |
1.1784243939888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61065d1 |
Quadratic twists by: -3 |