Atkin-Lehner |
2+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360u |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-305667768320 = -1 · 219 · 5 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 3 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1055,-23455] |
[a1,a2,a3,a4,a6] |
j |
494913671/1166030 |
j-invariant |
L |
1.003261708838 |
L(r)(E,1)/r! |
Ω |
0.50163098755627 |
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 |
103360ck1 3230b1 |
Quadratic twists by: -4 8 |