Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43512h |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-203132356232811264 = -1 · 28 · 312 · 79 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,145759,-3333597] |
[a1,a2,a3,a4,a6] |
Generators |
[1423:-55566:1] |
Generators of the group modulo torsion |
j |
11371000208384/6744517731 |
j-invariant |
L |
6.7952060045753 |
L(r)(E,1)/r! |
Ω |
0.18553638458355 |
Real period |
R |
0.19075340947251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024e1 6216a1 |
Quadratic twists by: -4 -7 |