Atkin-Lehner |
2+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048c |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6408192 |
Modular degree for the optimal curve |
Δ |
-87035785604649728 = -1 · 28 · 713 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ -3 -4 7- 11+ 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2529772,-1548775340] |
[a1,a2,a3,a4,a6] |
Generators |
[5334:369754:1] |
Generators of the group modulo torsion |
j |
-59448328887665664/2889812387 |
j-invariant |
L |
2.5360557101447 |
L(r)(E,1)/r! |
Ω |
0.059854657086007 |
Real period |
R |
1.3240698031553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999610889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864a1 |
Quadratic twists by: -7 |