Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600r |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
78059520 |
Modular degree for the optimal curve |
Δ |
1.2993719994352E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21577565008,1219968914869988] |
[a1,a2,a3,a4,a6] |
Generators |
[83978:-416700:1] |
Generators of the group modulo torsion |
j |
69440210808984840670969773604/81210749964697265625 |
j-invariant |
L |
8.1312947169043 |
L(r)(E,1)/r! |
Ω |
0.040774005014789 |
Real period |
R |
4.5323522323931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800e1 12720c1 |
Quadratic twists by: -4 5 |