Atkin-Lehner |
2+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710t |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
586224 |
Modular degree for the optimal curve |
Δ |
-5010374656000000000 = -1 · 223 · 59 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 3 3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-223904,-115100672] |
[a1,a2,a3,a4,a6] |
j |
-25334613306372990249/102252544000000000 |
j-invariant |
L |
1.8017045912922 |
L(r)(E,1)/r! |
Ω |
0.10009469951543 |
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 |
38710b1 |
Quadratic twists by: -7 |