Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010c |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-325857181500 = -1 · 22 · 33 · 53 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1680,6796] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-304:1] |
Generators of the group modulo torsion |
j |
804357/500 |
j-invariant |
L |
2.2301167439371 |
L(r)(E,1)/r! |
Ω |
0.59662196279666 |
Real period |
R |
0.93447647044517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26010bd3 90a1 |
Quadratic twists by: -3 17 |