Atkin-Lehner |
3+ 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475l |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-2843488705078125 = -1 · 38 · 59 · 133 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-301013,-63743344] |
[a1,a2,a3,a4,a6] |
Generators |
[660:4732:1] |
Generators of the group modulo torsion |
j |
-1544363467081469/1455866217 |
j-invariant |
L |
2.7800037303882 |
L(r)(E,1)/r! |
Ω |
0.10190574976944 |
Real period |
R |
2.2733455039923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475q1 |
Quadratic twists by: 5 |