Atkin-Lehner |
3- 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
105225q |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
996480 |
Modular degree for the optimal curve |
Δ |
165181876171875 = 34 · 58 · 23 · 613 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -4 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-555638,159370017] |
[a1,a2,a3,a4,a6] |
Generators |
[427:-326:1] [2366:35417:8] |
Generators of the group modulo torsion |
j |
48566806172010625/422865603 |
j-invariant |
L |
7.9630476256172 |
L(r)(E,1)/r! |
Ω |
0.51651138057559 |
Real period |
R |
0.42824955211528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105225f1 |
Quadratic twists by: 5 |