Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ch |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3696357420266176512 = -1 · 214 · 35 · 78 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,342543,-50895153] |
[a1,a2,a3,a4,a6] |
j |
47061251888/39135393 |
j-invariant |
L |
4.1318844560829 |
L(r)(E,1)/r! |
Ω |
0.13772948592868 |
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 |
103488ey1 6468b1 103488y1 |
Quadratic twists by: -4 8 -7 |