Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488x |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
3394267603550208 = 214 · 33 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115046577,475000133553] |
[a1,a2,a3,a4,a6] |
j |
87364831012240243408/1760913 |
j-invariant |
L |
0.4627304423194 |
L(r)(E,1)/r! |
Ω |
0.23136516596005 |
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 |
103488ir1 12936k1 14784bf1 |
Quadratic twists by: -4 8 -7 |