Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26450n |
Isogeny class |
Conductor |
26450 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-43335680000000000 = -1 · 223 · 510 · 232 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 4 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18963,10064417] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-3271:1] |
Generators of the group modulo torsion |
j |
-91236912601/5242880000 |
j-invariant |
L |
8.9837285732184 |
L(r)(E,1)/r! |
Ω |
0.29845407477091 |
Real period |
R |
0.65436683145903 |
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 |
5290b1 26450m1 |
Quadratic twists by: 5 -23 |