Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bl |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-98835244200 = -1 · 23 · 35 · 52 · 75 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1152,-1322] |
[a1,a2,a3,a4,a6] |
Generators |
[44:345:1] |
Generators of the group modulo torsion |
j |
1399064033279/816820200 |
j-invariant |
L |
5.2146915062574 |
L(r)(E,1)/r! |
Ω |
0.62815852752973 |
Real period |
R |
0.16603106629037 |
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 |
76230eb1 127050fs1 25410cv1 |
Quadratic twists by: -3 5 -11 |