Atkin-Lehner |
2+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35258f |
Isogeny class |
Conductor |
35258 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
116280 |
Modular degree for the optimal curve |
Δ |
-13616678524832 = -1 · 25 · 178 · 61 |
Discriminant |
Eigenvalues |
2+ 1 4 -4 -2 -4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,716,-177326] |
[a1,a2,a3,a4,a6] |
Generators |
[710776918:214697189:13651919] |
Generators of the group modulo torsion |
j |
5831/1952 |
j-invariant |
L |
5.1370781574166 |
L(r)(E,1)/r! |
Ω |
0.33149283272378 |
Real period |
R |
15.496800082242 |
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 |
35258b1 |
Quadratic twists by: 17 |