Atkin-Lehner |
2+ 3- 5- 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31110k |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-5388953654940 = -1 · 22 · 3 · 5 · 176 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2113,-117952] |
[a1,a2,a3,a4,a6] |
j |
-1042621590184201/5388953654940 |
j-invariant |
L |
1.9041311493323 |
L(r)(E,1)/r! |
Ω |
0.31735519155509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330bd1 |
Quadratic twists by: -3 |