Atkin-Lehner |
3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715s |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1964520 |
Modular degree for the optimal curve |
Δ |
-6144770335840875 = -1 · 35 · 53 · 178 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 5- -4 -1 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-224360,-41002852] |
[a1,a2,a3,a4,a6] |
j |
-179048452096/880875 |
j-invariant |
L |
0.32895020945578 |
L(r)(E,1)/r! |
Ω |
0.10964914253987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715w1 |
Quadratic twists by: 17 |