Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bk |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
151251626433600 = 26 · 32 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-372683,87537206] |
[a1,a2,a3,a4,a6] |
Generators |
[135:6232:1] |
Generators of the group modulo torsion |
j |
3231355012744321/85377600 |
j-invariant |
L |
5.3285735144394 |
L(r)(E,1)/r! |
Ω |
0.53660875416774 |
Real period |
R |
2.4825226354645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230dx2 127050fg2 2310v2 |
Quadratic twists by: -3 5 -11 |