Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944i |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-1232295254784 = -1 · 28 · 36 · 115 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11+ -2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-423,-53514] |
[a1,a2,a3,a4,a6] |
j |
-44851536/6603091 |
j-invariant |
L |
1.5345923269261 |
L(r)(E,1)/r! |
Ω |
0.38364808018505 |
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 |
32472p1 7216d1 |
Quadratic twists by: -4 -3 |