Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26800bj |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15408 |
Modular degree for the optimal curve |
Δ |
-670000 = -1 · 24 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -6 -4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2433,47012] |
[a1,a2,a3,a4,a6] |
Generators |
[32:30:1] |
Generators of the group modulo torsion |
j |
-159341363200/67 |
j-invariant |
L |
7.7524475698087 |
L(r)(E,1)/r! |
Ω |
2.3356852601746 |
Real period |
R |
1.1063773163269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6700l1 107200dn1 26800bf1 |
Quadratic twists by: -4 8 5 |