Atkin-Lehner |
2- 7- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
124432m |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
120187375616 = 212 · 74 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11+ -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-460901,120590669] |
[a1,a2,a3,a4,a6] |
Generators |
[388:147:1] |
Generators of the group modulo torsion |
j |
2643550782660849664/29342621 |
j-invariant |
L |
8.5464379074652 |
L(r)(E,1)/r! |
Ω |
0.73558595241709 |
Real period |
R |
1.4523180231601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7777c1 |
Quadratic twists by: -4 |