Atkin-Lehner |
3- 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125097h |
Isogeny class |
Conductor |
125097 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
720384 |
Modular degree for the optimal curve |
Δ |
-575794198212219 = -1 · 36 · 79 · 232 · 37 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 3 3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-42646,-3595196] |
[a1,a2,a3,a4,a6] |
Generators |
[1094:35500:1] |
Generators of the group modulo torsion |
j |
-212562399232/14268717 |
j-invariant |
L |
4.5705157380645 |
L(r)(E,1)/r! |
Ω |
0.16547022847872 |
Real period |
R |
1.1508907471799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125097d1 |
Quadratic twists by: -7 |