Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488gy |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-3590630192185344 = -1 · 221 · 33 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36129,-3923361] |
[a1,a2,a3,a4,a6] |
Generators |
[7335:628032:1] |
Generators of the group modulo torsion |
j |
-3451273/2376 |
j-invariant |
L |
11.259561683412 |
L(r)(E,1)/r! |
Ω |
0.16801185613663 |
Real period |
R |
5.5847059293147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488i1 25872bf1 103488fr1 |
Quadratic twists by: -4 8 -7 |