Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26550cb |
Isogeny class |
Conductor |
26550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-215055000000000 = -1 · 29 · 36 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 5 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78755,-8516253] |
[a1,a2,a3,a4,a6] |
j |
-4742478770401/18880000 |
j-invariant |
L |
5.1286077043767 |
L(r)(E,1)/r! |
Ω |
0.14246132512158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2950e1 5310f1 |
Quadratic twists by: -3 5 |