Atkin-Lehner |
3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
26901t |
Isogeny class |
Conductor |
26901 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
1794484549683 = 36 · 79 · 61 |
Discriminant |
Eigenvalues |
1 3- 0 7- 5 -4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12357,-521690] |
[a1,a2,a3,a4,a6] |
j |
2433138625/20923 |
j-invariant |
L |
1.8121950562486 |
L(r)(E,1)/r! |
Ω |
0.45304876406227 |
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 |
2989c1 3843c1 |
Quadratic twists by: -3 -7 |