Atkin-Lehner |
5+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
14245b |
Isogeny class |
Conductor |
14245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24430175 = 52 · 74 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54268,4879432] |
[a1,a2,a3,a4,a6] |
Generators |
[245:2376:1] |
Generators of the group modulo torsion |
j |
17674521233861372049/24430175 |
j-invariant |
L |
2.0701981147653 |
L(r)(E,1)/r! |
Ω |
1.3594509281839 |
Real period |
R |
3.0456386057728 |
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 |
128205bj4 71225a4 99715k4 |
Quadratic twists by: -3 5 -7 |