Atkin-Lehner |
3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715bg |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2849472 |
Modular degree for the optimal curve |
Δ |
-3959963105319675 = -1 · 33 · 52 · 178 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- 3 -2 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6990483,-7114501019] |
[a1,a2,a3,a4,a6] |
Generators |
[6789029:58506453:2197] |
Generators of the group modulo torsion |
j |
-5415690082179241/567675 |
j-invariant |
L |
12.323341077328 |
L(r)(E,1)/r! |
Ω |
0.046424022468737 |
Real period |
R |
7.3736615354305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715d1 |
Quadratic twists by: 17 |