Atkin-Lehner |
3+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25641c |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1299361854483 = 33 · 74 · 114 · 372 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38136,-2856455] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:77:1] |
Generators of the group modulo torsion |
j |
227180876340765339/48124513129 |
j-invariant |
L |
7.4272234718822 |
L(r)(E,1)/r! |
Ω |
0.34164160758656 |
Real period |
R |
1.3587380947885 |
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 |
25641a2 |
Quadratic twists by: -3 |