Atkin-Lehner |
2+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42550j |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
5037920000 = 28 · 54 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 3 -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-617,-4659] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-321:1] |
Generators of the group modulo torsion |
j |
41600165625/8060672 |
j-invariant |
L |
3.7271697086174 |
L(r)(E,1)/r! |
Ω |
0.97075779823283 |
Real period |
R |
0.95986087245502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550o1 |
Quadratic twists by: 5 |