Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400br |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
17971200 |
Modular degree for the optimal curve |
Δ |
-6.4422333690975E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13859408,-43428711312] |
[a1,a2,a3,a4,a6] |
Generators |
[1760892124:82997442000:300763] |
Generators of the group modulo torsion |
j |
-1735192372/3796875 |
j-invariant |
L |
9.8806958910987 |
L(r)(E,1)/r! |
Ω |
0.036634778017787 |
Real period |
R |
13.485404336302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280r1 101400do1 |
Quadratic twists by: 5 13 |