Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904bn |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-294736258637365248 = -1 · 217 · 312 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68289,26985375] |
[a1,a2,a3,a4,a6] |
Generators |
[-357:2448:1] [-243:5412:1] |
Generators of the group modulo torsion |
j |
-268702931670626/2248659199809 |
j-invariant |
L |
8.5584215814819 |
L(r)(E,1)/r! |
Ω |
0.26328620883174 |
Real period |
R |
1.3544230091304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35904bv3 4488f4 107712z3 |
Quadratic twists by: -4 8 -3 |