Atkin-Lehner |
3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
26901r |
Isogeny class |
Conductor |
26901 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-36622133667 = -1 · 36 · 77 · 61 |
Discriminant |
Eigenvalues |
0 3- 4 7- 2 -2 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-588,-10719] |
[a1,a2,a3,a4,a6] |
j |
-262144/427 |
j-invariant |
L |
3.6711013502785 |
L(r)(E,1)/r! |
Ω |
0.45888766878485 |
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 |
2989b1 3843h1 |
Quadratic twists by: -3 -7 |