Atkin-Lehner |
2+ 3+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40626b |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16547328 |
Modular degree for the optimal curve |
Δ |
-2.9279361757367E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 -3 5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14461509,822987844325] |
[a1,a2,a3,a4,a6] |
j |
16993124502680195235549/14875456870074332217344 |
j-invariant |
L |
1.5378568184862 |
L(r)(E,1)/r! |
Ω |
0.042718244957942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40626k1 |
Quadratic twists by: -3 |