Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840n |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16896000 |
Modular degree for the optimal curve |
Δ |
-5.2152234395653E+22 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 11- 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91952296,339592943120] |
[a1,a2,a3,a4,a6] |
Generators |
[10696:761332:1] |
Generators of the group modulo torsion |
j |
-23698747132646144258/14374305034375 |
j-invariant |
L |
3.7254310583829 |
L(r)(E,1)/r! |
Ω |
0.11107930667884 |
Real period |
R |
0.52403874697633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999313269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920h1 11440c1 |
Quadratic twists by: -4 -11 |