Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930cq |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-213830377554780 = -1 · 22 · 314 · 5 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71345,7338827] |
[a1,a2,a3,a4,a6] |
j |
-341370886042369/1817528220 |
j-invariant |
L |
1.1291366496577 |
L(r)(E,1)/r! |
Ω |
0.56456832482885 |
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 |
83790bf1 570j1 |
Quadratic twists by: -3 -7 |