Atkin-Lehner |
2+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408m |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-8805018284032 = -1 · 212 · 31 · 375 |
Discriminant |
Eigenvalues |
2+ -2 0 1 2 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6873,-263993] |
[a1,a2,a3,a4,a6] |
j |
-8767302328000/2149662667 |
j-invariant |
L |
0.51764036983872 |
L(r)(E,1)/r! |
Ω |
0.25882018665394 |
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 |
73408c1 36704d1 |
Quadratic twists by: -4 8 |