Atkin-Lehner |
2- 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680bv |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-22202504053297920 = -1 · 28 · 37 · 5 · 118 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70235,-282455] |
[a1,a2,a3,a4,a6] |
j |
149671228591898624/86728531458195 |
j-invariant |
L |
3.626806408828 |
L(r)(E,1)/r! |
Ω |
0.22667540167797 |
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 |
24420n1 |
Quadratic twists by: -4 |