Atkin-Lehner |
2+ 3+ 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094a |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2440475360031737952 = 25 · 316 · 76 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2523185,1539782517] |
[a1,a2,a3,a4,a6] |
Generators |
[-1253:52934:1] |
Generators of the group modulo torsion |
j |
1776524755110926968617625/2440475360031737952 |
j-invariant |
L |
2.4892528660215 |
L(r)(E,1)/r! |
Ω |
0.25733803493038 |
Real period |
R |
4.8365428505252 |
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 |
51282bg2 119658bg2 |
Quadratic twists by: -3 -7 |