Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2950s |
Isogeny class |
Conductor |
2950 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-4562616320000 = -1 · 221 · 54 · 592 |
Discriminant |
Eigenvalues |
2- 1 5- -4 3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1613,105617] |
[a1,a2,a3,a4,a6] |
Generators |
[32:279:1] |
Generators of the group modulo torsion |
j |
-742614841825/7300186112 |
j-invariant |
L |
5.0914144674801 |
L(r)(E,1)/r! |
Ω |
0.66023378402014 |
Real period |
R |
0.55082376995082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23600bg1 94400bk1 26550bg1 2950c1 |
Quadratic twists by: -4 8 -3 5 |