Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800bn |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17794411250000 = 24 · 57 · 76 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4902133,4175955738] |
[a1,a2,a3,a4,a6] |
Generators |
[1198:4900:1] |
Generators of the group modulo torsion |
j |
52112158467655991296/71177645 |
j-invariant |
L |
4.1432032576862 |
L(r)(E,1)/r! |
Ω |
0.44115583680718 |
Real period |
R |
0.78264166386044 |
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 |
7700d3 123200gi3 6160i3 |
Quadratic twists by: -4 8 5 |