Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360l |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
25130238560506880 = 210 · 5 · 172 · 198 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175688,-27298552] |
[a1,a2,a3,a4,a6] |
j |
585666053776152576/24541248594245 |
j-invariant |
L |
1.8703638477886 |
L(r)(E,1)/r! |
Ω |
0.23379547581395 |
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 |
103360ca1 12920f1 |
Quadratic twists by: -4 8 |