Atkin-Lehner |
3- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
85425s |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-68073046875 = -1 · 32 · 58 · 172 · 67 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 2 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1708,-30506] |
[a1,a2,a3,a4,a6] |
Generators |
[49:76:1] [83:-638:1] |
Generators of the group modulo torsion |
j |
-1411502080/174267 |
j-invariant |
L |
7.1123512285953 |
L(r)(E,1)/r! |
Ω |
0.36875229464648 |
Real period |
R |
1.6073010101462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85425e1 |
Quadratic twists by: 5 |