Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368c |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
369424380644352 = 210 · 32 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-484040,-129454884] |
[a1,a2,a3,a4,a6] |
Generators |
[15569:1940598:1] |
Generators of the group modulo torsion |
j |
5194386284/153 |
j-invariant |
L |
2.0027132703614 |
L(r)(E,1)/r! |
Ω |
0.18100056660222 |
Real period |
R |
5.5323397819662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736w2 49368v2 |
Quadratic twists by: -4 -11 |