Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950bu |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-12752843512500000 = -1 · 25 · 36 · 58 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39492,6226416] |
[a1,a2,a3,a4,a6] |
Generators |
[619:14478:1] |
Generators of the group modulo torsion |
j |
-23920470625/44783648 |
j-invariant |
L |
3.7470018283871 |
L(r)(E,1)/r! |
Ω |
0.35640565108845 |
Real period |
R |
0.87610887036121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4550v1 40950ei1 |
Quadratic twists by: -3 5 |