Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bo |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23681122592358400 = -1 · 226 · 52 · 132 · 174 |
Discriminant |
Eigenvalues |
2- -2 5- 0 2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62335,-4330625] |
[a1,a2,a3,a4,a6] |
Generators |
[133:2516:1] |
Generators of the group modulo torsion |
j |
102181603702751/90336313600 |
j-invariant |
L |
4.9366226703442 |
L(r)(E,1)/r! |
Ω |
0.20856227397256 |
Real period |
R |
2.9587222176263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720r2 17680h2 |
Quadratic twists by: -4 8 |