Atkin-Lehner |
3- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
85425r |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-2930321456448046875 = -1 · 318 · 58 · 172 · 67 |
Discriminant |
Eigenvalues |
0 3- 5- -4 0 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,178917,77096369] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:688:1] [-117:7387:1] |
Generators of the group modulo torsion |
j |
1621496712888320/7501622928507 |
j-invariant |
L |
9.377105321068 |
L(r)(E,1)/r! |
Ω |
0.1820695529034 |
Real period |
R |
4.2919062025094 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000036 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85425d1 |
Quadratic twists by: 5 |