Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fe |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-4720951110758400 = -1 · 212 · 318 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26067,-3681326] |
[a1,a2,a3,a4,a6] |
Generators |
[1233:42880:1] |
Generators of the group modulo torsion |
j |
-656008386769/1581036975 |
j-invariant |
L |
7.0272235034706 |
L(r)(E,1)/r! |
Ω |
0.17524646276863 |
Real period |
R |
5.0123861262026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355p1 28560de1 |
Quadratic twists by: -4 -3 |