Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45472h |
Isogeny class |
Conductor |
45472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-40742912 = -1 · 212 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 2 -2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2893,-58939] |
[a1,a2,a3,a4,a6] |
j |
-1906624000/29 |
j-invariant |
L |
1.3019057236639 |
L(r)(E,1)/r! |
Ω |
0.32547643096551 |
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 |
45472e1 90944do1 45472d1 |
Quadratic twists by: -4 8 -7 |