Atkin-Lehner |
2+ 3- 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610i |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1302720 |
Modular degree for the optimal curve |
Δ |
-1.5694486909747E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2677724,1697053466] |
[a1,a2,a3,a4,a6] |
j |
-2123346703836407022610489/15694486909747200000 |
j-invariant |
L |
0.88774566002033 |
L(r)(E,1)/r! |
Ω |
0.22193641499817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830ck1 |
Quadratic twists by: -3 |