Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488bk |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
15902380032 = 212 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2025,-33879] |
[a1,a2,a3,a4,a6] |
j |
1906624/33 |
j-invariant |
L |
1.4248247680526 |
L(r)(E,1)/r! |
Ω |
0.71241238275989 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488eo1 51744cs1 2112o1 |
Quadratic twists by: -4 8 -7 |