Atkin-Lehner |
3+ 5- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85425h |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-88312593244921875 = -1 · 32 · 58 · 174 · 673 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 2 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2378083,-1410805182] |
[a1,a2,a3,a4,a6] |
Generators |
[1992:41862:1] |
Generators of the group modulo torsion |
j |
-3807543599129067520/226080238707 |
j-invariant |
L |
5.3912049845903 |
L(r)(E,1)/r! |
Ω |
0.060787074773758 |
Real period |
R |
3.6954162041189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85425n1 |
Quadratic twists by: 5 |