Atkin-Lehner |
2+ 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87542c |
Isogeny class |
Conductor |
87542 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1265472 |
Modular degree for the optimal curve |
Δ |
-198414837828324026 = -1 · 2 · 74 · 138 · 373 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 1 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66871,22457631] |
[a1,a2,a3,a4,a6] |
j |
-40540957353/243235706 |
j-invariant |
L |
1.0972184733278 |
L(r)(E,1)/r! |
Ω |
0.27430463661293 |
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 |
87542e1 |
Quadratic twists by: 13 |