Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904bu |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-176396352 = -1 · 26 · 3 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52,-638] |
[a1,a2,a3,a4,a6] |
Generators |
[6573:24340:343] |
Generators of the group modulo torsion |
j |
-247673152/2756193 |
j-invariant |
L |
5.4584739212491 |
L(r)(E,1)/r! |
Ω |
0.76764532393259 |
Real period |
R |
7.1106717530504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904dc1 17952t4 107712ep1 |
Quadratic twists by: -4 8 -3 |