Atkin-Lehner |
3+ 11+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26367a |
Isogeny class |
Conductor |
26367 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3393726434556183 = -1 · 310 · 114 · 174 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9073,2818718] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:1101:1] |
Generators of the group modulo torsion |
j |
-82599883811412625/3393726434556183 |
j-invariant |
L |
1.5384493468575 |
L(r)(E,1)/r! |
Ω |
0.370755094051 |
Real period |
R |
1.0373757310034 |
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 |
79101j1 |
Quadratic twists by: -3 |