Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904bc |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-835334995968 = -1 · 215 · 36 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6689,212895] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:627:1] [-41:648:1] |
Generators of the group modulo torsion |
j |
-1010234719304/25492401 |
j-invariant |
L |
8.4736326840266 |
L(r)(E,1)/r! |
Ω |
0.88975373145191 |
Real period |
R |
0.39681545131025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904r2 17952l2 107712ci2 |
Quadratic twists by: -4 8 -3 |