Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854h |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-10599672564 = -1 · 22 · 32 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 1 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34649,-2485312] |
[a1,a2,a3,a4,a6] |
Generators |
[3021:164218:1] |
Generators of the group modulo torsion |
j |
-953054410321/2196 |
j-invariant |
L |
5.0056778050292 |
L(r)(E,1)/r! |
Ω |
0.17496384904291 |
Real period |
R |
7.1524458228984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366a1 |
Quadratic twists by: 13 |