Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472n |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-80562049485295616 = -1 · 212 · 714 · 29 |
Discriminant |
Eigenvalues |
2+ 3 1 7- -1 7 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,104468,4192832] |
[a1,a2,a3,a4,a6] |
j |
261652787136/167179229 |
j-invariant |
L |
6.8260063581139 |
L(r)(E,1)/r! |
Ω |
0.21331269868686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45472o1 90944ep1 6496f1 |
Quadratic twists by: -4 8 -7 |