Atkin-Lehner |
3+ 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265a |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
436576 |
Modular degree for the optimal curve |
Δ |
-525447939931155 = -1 · 33 · 5 · 377 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 5 -4 4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-36288,-2880197] |
[a1,a2,a3,a4,a6] |
j |
-195726237040115712/19461034812265 |
j-invariant |
L |
2.40777059959 |
L(r)(E,1)/r! |
Ω |
0.17198361531926 |
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 |
68265b1 |
Quadratic twists by: -3 |