Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928u |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
1535542272 = 210 · 36 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6147,185490] |
[a1,a2,a3,a4,a6] |
Generators |
[49:44:1] [-53:602:1] |
Generators of the group modulo torsion |
j |
34410094596/2057 |
j-invariant |
L |
6.3183275527253 |
L(r)(E,1)/r! |
Ω |
1.427298251702 |
Real period |
R |
1.106693633442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13464p1 107712ee1 2992a1 |
Quadratic twists by: -4 8 -3 |