Atkin-Lehner |
2+ 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830r |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2865408 |
Modular degree for the optimal curve |
Δ |
1007535409205625000 = 23 · 319 · 57 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -4 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1514520,716150200] |
[a1,a2,a3,a4,a6] |
Generators |
[42612:81697:64] |
Generators of the group modulo torsion |
j |
527013067025621877121/1382078750625000 |
j-invariant |
L |
4.837642493278 |
L(r)(E,1)/r! |
Ω |
0.27835785824087 |
Real period |
R |
8.689610117252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999398572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41610z1 |
Quadratic twists by: -3 |