Atkin-Lehner |
2+ 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230o |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-558450 = -1 · 2 · 32 · 52 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 5 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-94,-358] |
[a1,a2,a3,a4,a6] |
j |
-90458382169/558450 |
j-invariant |
L |
3.0693203216304 |
L(r)(E,1)/r! |
Ω |
0.76733008040553 |
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 |
111690bx1 |
Quadratic twists by: -3 |