Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680z |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-13647284000000 = -1 · 28 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5537,-80262] |
[a1,a2,a3,a4,a6] |
Generators |
[24512468994:-271591682727:890277128] |
Generators of the group modulo torsion |
j |
623331504/453125 |
j-invariant |
L |
7.2212482885474 |
L(r)(E,1)/r! |
Ω |
0.3966589238184 |
Real period |
R |
18.205182957768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28420a2 2320h2 |
Quadratic twists by: -4 -7 |