Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bv |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
630247042161000000 = 26 · 316 · 56 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4410525,-3564992500] |
[a1,a2,a3,a4,a6] |
Generators |
[-260346:-27577:216] |
Generators of the group modulo torsion |
j |
13015685560572352/864536409 |
j-invariant |
L |
6.0320758653288 |
L(r)(E,1)/r! |
Ω |
0.10417864717369 |
Real period |
R |
7.2376586125578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002716 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79200dq1 26400bg1 3168z1 |
Quadratic twists by: -4 -3 5 |