Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26010bl |
Isogeny class |
Conductor |
26010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
553283596584403200 = 28 · 36 · 52 · 179 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6641708,-6586457169] |
[a1,a2,a3,a4,a6] |
Generators |
[45335:9614037:1] |
Generators of the group modulo torsion |
j |
1841373668746009/31443200 |
j-invariant |
L |
8.1420457691444 |
L(r)(E,1)/r! |
Ω |
0.094043776398786 |
Real period |
R |
5.4110742896336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2890i1 1530p1 |
Quadratic twists by: -3 17 |