Atkin-Lehner |
3- 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
98475u |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-678066845625 = -1 · 34 · 54 · 13 · 1013 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -2 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2087,-14758] |
[a1,a2,a3,a4,a6] |
j |
1608414708575/1084906953 |
j-invariant |
L |
2.0597429782518 |
L(r)(E,1)/r! |
Ω |
0.51493569976471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475a1 |
Quadratic twists by: 5 |