Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010be |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-287974591875000000 = -1 · 26 · 313 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38228,25988087] |
[a1,a2,a3,a4,a6] |
Generators |
[1473:55513:1] |
Generators of the group modulo torsion |
j |
-29324621982169/1366875000000 |
j-invariant |
L |
8.3676294380458 |
L(r)(E,1)/r! |
Ω |
0.25560909067691 |
Real period |
R |
1.364001670136 |
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 |
8670j1 26010ca1 |
Quadratic twists by: -3 17 |