Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904bz |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-706698432 = -1 · 26 · 310 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14917,706243] |
[a1,a2,a3,a4,a6] |
Generators |
[8870:243:125] |
Generators of the group modulo torsion |
j |
-5736108018368512/11042163 |
j-invariant |
L |
6.2561792920141 |
L(r)(E,1)/r! |
Ω |
1.3797741751739 |
Real period |
R |
2.2671026188853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35904ba1 8976ba1 107712eb1 |
Quadratic twists by: -4 8 -3 |