Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410z |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
145579690442340 = 22 · 32 · 5 · 73 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44894,-3618628] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:247:1] |
Generators of the group modulo torsion |
j |
4243659659/61740 |
j-invariant |
L |
4.5457342560919 |
L(r)(E,1)/r! |
Ω |
0.32827384750503 |
Real period |
R |
2.3078974513914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230eu1 127050ew1 25410ci1 |
Quadratic twists by: -3 5 -11 |