Atkin-Lehner |
3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715m |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-853747161320159595 = -1 · 315 · 5 · 177 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- 1 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,167235,-35879749] |
[a1,a2,a3,a4,a6] |
Generators |
[219033:4690250:729] |
Generators of the group modulo torsion |
j |
21429355544576/35370055755 |
j-invariant |
L |
4.3058931033993 |
L(r)(E,1)/r! |
Ω |
0.14816507468602 |
Real period |
R |
7.2653643396773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000240047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7395f1 |
Quadratic twists by: 17 |