Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10115g |
Isogeny class |
Conductor |
10115 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-844814915 = -1 · 5 · 7 · 176 |
Discriminant |
Eigenvalues |
0 -1 5- 7+ 3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-385,3358] |
[a1,a2,a3,a4,a6] |
j |
-262144/35 |
j-invariant |
L |
1.5343291505578 |
L(r)(E,1)/r! |
Ω |
1.5343291505578 |
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 |
91035d1 50575m1 70805e1 35a3 |
Quadratic twists by: -3 5 -7 17 |