Atkin-Lehner |
3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
78045l |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3198720 |
Modular degree for the optimal curve |
Δ |
-1.6842209003646E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 11- -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2030420,-1130286994] |
[a1,a2,a3,a4,a6] |
j |
-522547125460258816/9506987907075 |
j-invariant |
L |
0.75802864792745 |
L(r)(E,1)/r! |
Ω |
0.063169051535502 |
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 |
645c1 |
Quadratic twists by: -11 |