Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bw |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-241701817809375000 = -1 · 23 · 34 · 58 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 3 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13550,23651500] |
[a1,a2,a3,a4,a6] |
Generators |
[435:-10805:1] |
Generators of the group modulo torsion |
j |
397535/349272 |
j-invariant |
L |
4.6500882025483 |
L(r)(E,1)/r! |
Ω |
0.24409710797038 |
Real period |
R |
0.39687826351149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000125276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050id1 11550cb1 |
Quadratic twists by: 5 -11 |