Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470l |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-7638971032000 = -1 · 26 · 53 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1207,-131892] |
[a1,a2,a3,a4,a6] |
Generators |
[54:275:1] |
Generators of the group modulo torsion |
j |
109902239/4312000 |
j-invariant |
L |
1.9410342528624 |
L(r)(E,1)/r! |
Ω |
0.35617375434198 |
Real period |
R |
0.45414029650791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760cl1 76230dn1 42350cp1 59290v1 |
Quadratic twists by: -4 -3 5 -7 |