Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370q |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
5712768 |
Modular degree for the optimal curve |
Δ |
-5.1242740595998E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -3 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1984966,10944061996] |
[a1,a2,a3,a4,a6] |
Generators |
[-9037758:1337835254:12167] |
Generators of the group modulo torsion |
j |
-50927708432449/3017196125000 |
j-invariant |
L |
10.311090333602 |
L(r)(E,1)/r! |
Ω |
0.093033134074999 |
Real period |
R |
9.2360376368648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61370g1 |
Quadratic twists by: -19 |