Atkin-Lehner |
3+ 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85425d |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-187540573212675 = -1 · 318 · 52 · 172 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 0 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7157,613908] |
[a1,a2,a3,a4,a6] |
j |
1621496712888320/7501622928507 |
j-invariant |
L |
1.6284796188582 |
L(r)(E,1)/r! |
Ω |
0.407119896925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85425r1 |
Quadratic twists by: 5 |