Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418o |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.7063801278597E+31 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2197281985,-327676276977979] |
[a1,a2,a3,a4,a6] |
Generators |
[21015082952932606762077721878331969399663234030938913651558254:-8368584532892273559576284842584056069766614809077352540611019703:133478732419056101953655011218850484667338644220872236897] |
Generators of the group modulo torsion |
j |
9972243096256531073904212375/400035710278854173721100288 |
j-invariant |
L |
6.5146700504113 |
L(r)(E,1)/r! |
Ω |
0.0096763139133301 |
Real period |
R |
84.157434700376 |
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 |
4774e3 |
Quadratic twists by: -7 |