Atkin-Lehner |
2- 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120bf |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17418240 |
Modular degree for the optimal curve |
Δ |
-3.2115405413791E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74077932,366830029316] |
[a1,a2,a3,a4,a6] |
j |
-240892216689399984415744/172086148693581998435 |
j-invariant |
L |
0.24225746536237 |
L(r)(E,1)/r! |
Ω |
0.060564376767473 |
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 |
8680a1 |
Quadratic twists by: -3 |