Atkin-Lehner |
2+ 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410z |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-943015376532275200 = -1 · 220 · 52 · 77 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-119488,-49362162] |
[a1,a2,a3,a4,a6] |
j |
-1603626125868649/8015498444800 |
j-invariant |
L |
1.8546204821338 |
L(r)(E,1)/r! |
Ω |
0.11591378861096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630d1 |
Quadratic twists by: -7 |