Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454i |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-33087469683888928 = -1 · 25 · 76 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,32304,8464190] |
[a1,a2,a3,a4,a6] |
Generators |
[9206:878878:1] |
Generators of the group modulo torsion |
j |
17392838375/154355488 |
j-invariant |
L |
3.2125248249308 |
L(r)(E,1)/r! |
Ω |
0.27018501711163 |
Real period |
R |
5.9450462114352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000618 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69454s1 |
Quadratic twists by: -11 |