Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bx |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3194880 |
Modular degree for the optimal curve |
Δ |
1.0733717100038E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2190280,-1143035600] |
[a1,a2,a3,a4,a6] |
Generators |
[-900:9920:1] |
Generators of the group modulo torsion |
j |
283702311983803333321/26205364013765625 |
j-invariant |
L |
6.2968800290084 |
L(r)(E,1)/r! |
Ω |
0.12483492804386 |
Real period |
R |
4.2034710064681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215h1 |
Quadratic twists by: -4 |