Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
26950dg |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-982137616768000 = -1 · 210 · 53 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11500,-1577873] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2053:1] |
Generators of the group modulo torsion |
j |
-11436248277/66784256 |
j-invariant |
L |
8.2631448768417 |
L(r)(E,1)/r! |
Ω |
0.20649286923406 |
Real period |
R |
0.66694352105977 |
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 |
26950bl1 3850ba1 |
Quadratic twists by: 5 -7 |