Atkin-Lehner |
2- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29890v |
Isogeny class |
Conductor |
29890 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
83692000000 = 28 · 56 · 73 · 61 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2967,61359] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:142:1] [37:-54:1] |
Generators of the group modulo torsion |
j |
8418699293607/244000000 |
j-invariant |
L |
8.0802603015645 |
L(r)(E,1)/r! |
Ω |
1.0754080995403 |
Real period |
R |
0.078267383495899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29890s1 |
Quadratic twists by: -7 |