Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360n |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
2299043840000 = 216 · 54 · 372 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18176,934324] |
[a1,a2,a3,a4,a6] |
Generators |
[92:222:1] |
Generators of the group modulo torsion |
j |
162137174277889/561290000 |
j-invariant |
L |
5.1726497774717 |
L(r)(E,1)/r! |
Ω |
0.82282596511288 |
Real period |
R |
1.5716111194401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170j1 |
Quadratic twists by: -4 |