Atkin-Lehner |
3+ 5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185h |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2677773735 = -1 · 39 · 5 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,336,683] |
[a1,a2,a3,a4,a6] |
j |
212776173/136045 |
j-invariant |
L |
3.5837467847179 |
L(r)(E,1)/r! |
Ω |
0.89593670456037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185b1 |
Quadratic twists by: -3 |