Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bl |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11381760 |
Modular degree for the optimal curve |
Δ |
-7.847922362644E+20 |
Discriminant |
Eigenvalues |
2+ -3 3 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33807436,-75672026768] |
[a1,a2,a3,a4,a6] |
j |
-19983597574473/3670016 |
j-invariant |
L |
1.6904622186046 |
L(r)(E,1)/r! |
Ω |
0.03130485636043 |
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 |
75712ch1 2366f1 75712s1 |
Quadratic twists by: -4 8 13 |