Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080h |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1234542116522880000 = 210 · 33 · 54 · 114 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449096,102916896] |
[a1,a2,a3,a4,a6] |
Generators |
[214:4070:1] |
Generators of the group modulo torsion |
j |
9782329412541994276/1205607535666875 |
j-invariant |
L |
3.9684198337867 |
L(r)(E,1)/r! |
Ω |
0.26338623034377 |
Real period |
R |
3.7667304822053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161451 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62040f4 |
Quadratic twists by: -4 |